Elliptic curve search results

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
25.1-CMa1	25.1-CMa	$1$	$1$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	25.1	$5^{2}$	$5^{3}$	$0.39963$	$(-a-2)$	0	$\Z/10\Z$	$\textsf{yes}$	$-4$	$\mathrm{U}(1)$	✓			✓	$5$	5Cs.1.1	$1$	$2$	$1$	$9.195427721$	0.183908554	$1728$	$\bigl[i + 1$ , $i$ , $1$ , $-i - 1$ , $0\bigr]$	${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-i-1\right){x}$
25.3-CMa1	25.3-CMa	$1$	$1$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	25.3	$5^{2}$	$5^{3}$	$0.39963$	$(2a+1)$	0	$\Z/10\Z$	$\textsf{yes}$	$-4$	$\mathrm{U}(1)$	✓			✓	$5$	5Cs.1.1	$1$	$2$	$1$	$9.195427721$	0.183908554	$1728$	$\bigl[i + 1$ , $i$ , $i$ , $0$ , $0\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}$
64.1-CMa1	64.1-CMa	$2$	$2$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	64.1	$2^{6}$	$2^{12}$	$0.50549$	$(a+1)$	0	$\Z/2\Z\oplus\Z/4\Z$	$\textsf{yes}$	$-4$	$\mathrm{U}(1)$	✓	✓		✓	$2$	2Cs	$1$	$2^{2}$	$1$	$6.875185818$	0.429699113	$1728$	$\bigl[0$ , $0$ , $0$ , $-1$ , $0\bigr]$	${y}^2={x}^{3}-{x}$
64.1-CMa2	64.1-CMa	$2$	$2$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	64.1	$2^{6}$	$2^{6}$	$0.50549$	$(a+1)$	0	$\Z/4\Z$	$\textsf{yes}$	$-16$	$\mathrm{U}(1)$	✓	✓		✓			$1$	$1$	$1$	$6.875185818$	0.429699113	$287496$	$\bigl[i + 1$ , $i$ , $0$ , $2$ , $3 i\bigr]$	${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+2{x}+3i$
65.2-a1	65.2-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.2	$5 \cdot 13$	$5^{9} \cdot 13^{2}$	$0.50745$	$(-a-2), (2a+3)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$0.850436644$	0.425218322	$-\frac{157034896049234432}{330078125} a - \frac{128574568523373376}{330078125}$	$\bigl[i + 1$ , $0$ , $i$ , $239 i - 399$ , $-2869 i + 2627\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(239i-399\right){x}-2869i+2627$
65.2-a2	65.2-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.2	$5 \cdot 13$	$5^{6} \cdot 13^{3}$	$0.50745$	$(-a-2), (2a+3)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3Cs.1.1	$1$	$2 \cdot 3$	$1$	$2.551309934$	0.425218322	$-\frac{2088753403392}{34328125} a - \frac{1627055822656}{34328125}$	$\bigl[i + 1$ , $i + 1$ , $1$ , $-15 i + 3$ , $7 i - 14\bigr]$	${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-15i+3\right){x}+7i-14$
65.2-a3	65.2-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.2	$5 \cdot 13$	$5^{2} \cdot 13$	$0.50745$	$(-a-2), (2a+3)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.1	$1$	$2$	$1$	$7.653929802$	0.425218322	$\frac{732672}{325} a - \frac{3306304}{325}$	$\bigl[i + 1$ , $i + 1$ , $1$ , $-2$ , $-i - 1\bigr]$	${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}-2{x}-i-1$
65.2-a4	65.2-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.2	$5 \cdot 13$	$5^{18} \cdot 13$	$0.50745$	$(-a-2), (2a+3)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$0.850436644$	0.425218322	$\frac{1110974116587520512}{49591064453125} a - \frac{489671365797093184}{49591064453125}$	$\bigl[i + 1$ , $i + 1$ , $1$ , $-60 i + 98$ , $372 i + 410\bigr]$	${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-60i+98\right){x}+372i+410$
65.2-a5	65.2-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.2	$5 \cdot 13$	$5 \cdot 13^{2}$	$0.50745$	$(-a-2), (2a+3)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.1	$1$	$2$	$1$	$7.653929802$	0.425218322	$-\frac{1183232}{845} a - \frac{851776}{845}$	$\bigl[i + 1$ , $0$ , $i$ , $-i + 1$ , $0\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}$
65.2-a6	65.2-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.2	$5 \cdot 13$	$5^{3} \cdot 13^{6}$	$0.50745$	$(-a-2), (2a+3)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3Cs.1.1	$1$	$2 \cdot 3$	$1$	$2.551309934$	0.425218322	$\frac{356394317312}{603351125} a + \frac{580261889216}{603351125}$	$\bigl[i + 1$ , $0$ , $i$ , $4 i - 4$ , $-2 i + 5\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(4i-4\right){x}-2i+5$
65.3-a1	65.3-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.3	$5 \cdot 13$	$5^{9} \cdot 13^{2}$	$0.50745$	$(2a+1), (-3a-2)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$0.850436644$	0.425218322	$\frac{157034896049234432}{330078125} a - \frac{128574568523373376}{330078125}$	$\bigl[i + 1$ , $-i$ , $i$ , $-240 i - 399$ , $2869 i + 2627\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-240i-399\right){x}+2869i+2627$
65.3-a2	65.3-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.3	$5 \cdot 13$	$5^{6} \cdot 13^{3}$	$0.50745$	$(2a+1), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3Cs.1.1	$1$	$2 \cdot 3$	$1$	$2.551309934$	0.425218322	$\frac{2088753403392}{34328125} a - \frac{1627055822656}{34328125}$	$\bigl[i + 1$ , $i - 1$ , $i$ , $14 i + 4$ , $7 i + 14\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(14i+4\right){x}+7i+14$
65.3-a3	65.3-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.3	$5 \cdot 13$	$5^{2} \cdot 13$	$0.50745$	$(2a+1), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.1	$1$	$2$	$1$	$7.653929802$	0.425218322	$-\frac{732672}{325} a - \frac{3306304}{325}$	$\bigl[i + 1$ , $i - 1$ , $i$ , $-i - 1$ , $-i + 1\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-i-1\right){x}-i+1$
65.3-a4	65.3-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.3	$5 \cdot 13$	$5^{18} \cdot 13$	$0.50745$	$(2a+1), (-3a-2)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$0.850436644$	0.425218322	$-\frac{1110974116587520512}{49591064453125} a - \frac{489671365797093184}{49591064453125}$	$\bigl[i + 1$ , $i - 1$ , $i$ , $59 i + 99$ , $372 i - 410\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(59i+99\right){x}+372i-410$
65.3-a5	65.3-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.3	$5 \cdot 13$	$5 \cdot 13^{2}$	$0.50745$	$(2a+1), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.1	$1$	$2$	$1$	$7.653929802$	0.425218322	$\frac{1183232}{845} a - \frac{851776}{845}$	$\bigl[i + 1$ , $-i$ , $i$ , $1$ , $0\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-i{x}^{2}+{x}$
65.3-a6	65.3-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	65.3	$5 \cdot 13$	$5^{3} \cdot 13^{6}$	$0.50745$	$(2a+1), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3Cs.1.1	$1$	$2 \cdot 3$	$1$	$2.551309934$	0.425218322	$-\frac{356394317312}{603351125} a + \frac{580261889216}{603351125}$	$\bigl[i + 1$ , $-i$ , $i$ , $-5 i - 4$ , $2 i + 5\bigr]$	${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-5i-4\right){x}+2i+5$
72.1-a1	72.1-a	$6$	$8$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	72.1	$2^{3} \cdot 3^{2}$	$2^{10} \cdot 3^{16}$	$0.52060$	$(a+1), (3)$	0	$\Z/8\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	$2^{4}$	$1$	$1.817673508$	0.454418377	$\frac{207646}{6561}$	$\bigl[i + 1$ , $-i$ , $i + 1$ , $-i - 4$ , $22 i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(-i-4\right){x}+22i$
72.1-a2	72.1-a	$6$	$8$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	72.1	$2^{3} \cdot 3^{2}$	$2^{8} \cdot 3^{2}$	$0.52060$	$(a+1), (3)$	0	$\Z/8\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	$2^{2}$	$1$	$7.270694035$	0.454418377	$\frac{2048}{3}$	$\bigl[0$ , $-1$ , $0$ , $1$ , $0\bigr]$	${y}^2={x}^{3}-{x}^{2}+{x}$
72.1-a3	72.1-a	$6$	$8$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	72.1	$2^{3} \cdot 3^{2}$	$2^{4} \cdot 3^{4}$	$0.52060$	$(a+1), (3)$	0	$\Z/2\Z\oplus\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2Cs	$1$	$2^{2}$	$1$	$7.270694035$	0.454418377	$\frac{35152}{9}$	$\bigl[i + 1$ , $-i$ , $i + 1$ , $-i + 1$ , $-i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(-i+1\right){x}-i$
72.1-a4	72.1-a	$6$	$8$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	72.1	$2^{3} \cdot 3^{2}$	$2^{8} \cdot 3^{8}$	$0.52060$	$(a+1), (3)$	0	$\Z/2\Z\oplus\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2Cs	$1$	$2^{3}$	$1$	$3.635347017$	0.454418377	$\frac{1556068}{81}$	$\bigl[i + 1$ , $0$ , $i + 1$ , $-i + 6$ , $-5 i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+6\right){x}-5i$
72.1-a5	72.1-a	$6$	$8$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	72.1	$2^{3} \cdot 3^{2}$	$2^{8} \cdot 3^{2}$	$0.52060$	$(a+1), (3)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	$2$	$1$	$3.635347017$	0.454418377	$\frac{28756228}{3}$	$\bigl[i + 1$ , $-i$ , $i + 1$ , $-i + 16$ , $-28 i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(-i+16\right){x}-28i$
72.1-a6	72.1-a	$6$	$8$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	72.1	$2^{3} \cdot 3^{2}$	$2^{10} \cdot 3^{4}$	$0.52060$	$(a+1), (3)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2$	2B	$1$	$2^{2}$	$1$	$1.817673508$	0.454418377	$\frac{3065617154}{9}$	$\bigl[i + 1$ , $0$ , $i + 1$ , $-i + 96$ , $-347 i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+96\right){x}-347i$
98.1-a1	98.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	98.1	$2 \cdot 7^{2}$	$2^{36} \cdot 7^{2}$	$0.56231$	$(a+1), (7)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$0.875417135$	0.437708567	$-\frac{548347731625}{1835008}$	$\bigl[i$ , $0$ , $i$ , $-170$ , $874\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}-170{x}+874$
98.1-a2	98.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	98.1	$2 \cdot 7^{2}$	$2^{4} \cdot 7^{2}$	$0.56231$	$(a+1), (7)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.1	$1$	$2$	$1$	$7.878754216$	0.437708567	$-\frac{15625}{28}$	$\bigl[i$ , $0$ , $i$ , $0$ , $0\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}$
98.1-a3	98.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	98.1	$2 \cdot 7^{2}$	$2^{12} \cdot 7^{6}$	$0.56231$	$(a+1), (7)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3Cs.1.1	$1$	$2 \cdot 3$	$1$	$2.626251405$	0.437708567	$\frac{9938375}{21952}$	$\bigl[i$ , $0$ , $i$ , $5$ , $6\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}+5{x}+6$
98.1-a4	98.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	98.1	$2 \cdot 7^{2}$	$2^{6} \cdot 7^{12}$	$0.56231$	$(a+1), (7)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3Cs.1.1	$1$	$2^{2} \cdot 3$	$1$	$1.313125702$	0.437708567	$\frac{4956477625}{941192}$	$\bigl[i$ , $0$ , $i$ , $-35$ , $70\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}-35{x}+70$
98.1-a5	98.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	98.1	$2 \cdot 7^{2}$	$2^{2} \cdot 7^{4}$	$0.56231$	$(a+1), (7)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.1	$1$	$2^{2}$	$1$	$3.939377108$	0.437708567	$\frac{128787625}{98}$	$\bigl[i$ , $0$ , $i$ , $-10$ , $-12\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}-10{x}-12$
98.1-a6	98.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	98.1	$2 \cdot 7^{2}$	$2^{18} \cdot 7^{4}$	$0.56231$	$(a+1), (7)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$2, 3$	2B, 3B.1.2	$1$	$2^{2}$	$1$	$0.437708567$	0.437708567	$\frac{2251439055699625}{25088}$	$\bigl[i$ , $0$ , $i$ , $-2730$ , $55146\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}-2730{x}+55146$
100.2-a1	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{8} \cdot 5^{5}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2, 3$	2B, 3B.1.1	$1$	$2 \cdot 3$	$1$	$3.211547828$	0.535257971	$-\frac{59648644}{625} a - \frac{119744792}{625}$	$\bigl[i + 1$ , $-i$ , $i + 1$ , $4 i - 11$ , $11 i - 12\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(4i-11\right){x}+11i-12$
100.2-a2	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{8} \cdot 5^{5}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2, 3$	2B, 3B.1.1	$1$	$2 \cdot 3$	$1$	$3.211547828$	0.535257971	$\frac{59648644}{625} a - \frac{119744792}{625}$	$\bigl[i + 1$ , $0$ , $i + 1$ , $-6 i - 11$ , $-12 i - 12\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-6i-11\right){x}-12i-12$
100.2-a3	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{8} \cdot 5^{15}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$1.070515942$	0.535257971	$-\frac{893935595564}{244140625} a - \frac{1336401187352}{244140625}$	$\bigl[i + 1$ , $-i$ , $i + 1$ , $54 i - 1$ , $-119 i - 118\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(54i-1\right){x}-119i-118$
100.2-a4	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{8} \cdot 5^{15}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$1.070515942$	0.535257971	$\frac{893935595564}{244140625} a - \frac{1336401187352}{244140625}$	$\bigl[i + 1$ , $0$ , $i + 1$ , $-56 i - 1$ , $118 i - 118\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-56i-1\right){x}+118i-118$
100.2-a5	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{4} \cdot 5^{12}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2Cs, 3B.1.2	$1$	$2^{2}$	$1$	$2.141031885$	0.535257971	$-\frac{20720464}{15625}$	$\bigl[i + 1$ , $0$ , $i + 1$ , $-i + 9$ , $17 i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+9\right){x}+17i$
100.2-a6	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{4} \cdot 5^{4}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/2\Z\oplus\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2Cs, 3B.1.1	$1$	$2^{2} \cdot 3$	$1$	$6.423095656$	0.535257971	$\frac{21296}{25}$	$\bigl[i + 1$ , $0$ , $i + 1$ , $-i - 1$ , $-i\bigr]$	${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}-i$
100.2-a7	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{8} \cdot 5^{2}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2B, 3B.1.1	$1$	$3$	$1$	$6.423095656$	0.535257971	$\frac{16384}{5}$	$\bigl[0$ , $1$ , $0$ , $-1$ , $0\bigr]$	${y}^2={x}^{3}+{x}^{2}-{x}$
100.2-a8	100.2-a	$8$	$12$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	100.2	$2^{2} \cdot 5^{2}$	$2^{8} \cdot 5^{6}$	$0.56516$	$(a+1), (-a-2), (2a+1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓			$2, 3$	2B, 3B.1.2	$1$	$1$	$1$	$2.141031885$	0.535257971	$\frac{488095744}{125}$	$\bigl[0$ , $1$ , $0$ , $-41$ , $-116\bigr]$	${y}^2={x}^{3}+{x}^{2}-41{x}-116$
106.1-a1	106.1-a	$3$	$9$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	106.1	$2 \cdot 53$	$2^{9} \cdot 53$	$0.57345$	$(a+1), (-2a+7)$	0	$\Z/9\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B.1.1	$1$	$3^{2}$	$1$	$5.985343332$	0.665038148	$-\frac{24565}{1696} a + \frac{44217}{1696}$	$\bigl[1$ , $i - 1$ , $i + 1$ , $-i - 1$ , $0\bigr]$	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-i-1\right){x}$
106.1-a2	106.1-a	$3$	$9$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	106.1	$2 \cdot 53$	$2 \cdot 53^{9}$	$0.57345$	$(a+1), (-2a+7)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B.1.2	$1$	$1$	$1$	$0.665038148$	0.665038148	$\frac{2664717683643388715}{6599527183604266} a + \frac{2995316993300077017}{6599527183604266}$	$\bigl[1$ , $i - 1$ , $i + 1$ , $-76 i + 14$ , $225 i + 345\bigr]$	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-76i+14\right){x}+225i+345$
106.1-a3	106.1-a	$3$	$9$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	106.1	$2 \cdot 53$	$2^{3} \cdot 53^{3}$	$0.57345$	$(a+1), (-2a+7)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3Cs.1.1	$1$	$3$	$1$	$1.995114444$	0.665038148	$\frac{12075196954415}{595508} a + \frac{199712312811}{595508}$	$\bigl[1$ , $i - 1$ , $i + 1$ , $-51 i - 31$ , $174 i + 30\bigr]$	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-51i-31\right){x}+174i+30$
106.2-a1	106.2-a	$3$	$9$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	106.2	$2 \cdot 53$	$2^{9} \cdot 53$	$0.57345$	$(a+1), (2a+7)$	0	$\Z/9\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B.1.1	$1$	$3^{2}$	$1$	$5.985343332$	0.665038148	$\frac{24565}{1696} a + \frac{44217}{1696}$	$\bigl[1$ , $-i - 1$ , $i + 1$ , $-1$ , $-i\bigr]$	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}-{x}-i$
106.2-a2	106.2-a	$3$	$9$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	106.2	$2 \cdot 53$	$2 \cdot 53^{9}$	$0.57345$	$(a+1), (2a+7)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B.1.2	$1$	$1$	$1$	$0.665038148$	0.665038148	$-\frac{2664717683643388715}{6599527183604266} a + \frac{2995316993300077017}{6599527183604266}$	$\bigl[1$ , $-i - 1$ , $i + 1$ , $75 i + 14$ , $-226 i + 345\bigr]$	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(75i+14\right){x}-226i+345$
106.2-a3	106.2-a	$3$	$9$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	106.2	$2 \cdot 53$	$2^{3} \cdot 53^{3}$	$0.57345$	$(a+1), (2a+7)$	0	$\Z/3\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3Cs.1.1	$1$	$3$	$1$	$1.995114444$	0.665038148	$-\frac{12075196954415}{595508} a + \frac{199712312811}{595508}$	$\bigl[1$ , $-i - 1$ , $i + 1$ , $50 i - 31$ , $-175 i + 30\bigr]$	${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(50i-31\right){x}-175i+30$
121.1-a1	121.1-a	$3$	$25$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	121.1	$11^{2}$	$11^{2}$	$0.59274$	$(11)$	0	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$5$	5B.1.2	$1$	$1$	$1$	$0.370308724$	0.370308724	$-\frac{52893159101157376}{11}$	$\bigl[0$ , $1$ , $i$ , $-7820$ , $263580\bigr]$	${y}^2+i{y}={x}^{3}+{x}^{2}-7820{x}+263580$
121.1-a2	121.1-a	$3$	$25$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	121.1	$11^{2}$	$11^{10}$	$0.59274$	$(11)$	0	$\Z/5\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$5$	5Cs.1.1	$1$	$5$	$1$	$1.851543623$	0.370308724	$-\frac{122023936}{161051}$	$\bigl[0$ , $1$ , $i$ , $-10$ , $20\bigr]$	${y}^2+i{y}={x}^{3}+{x}^{2}-10{x}+20$
121.1-a3	121.1-a	$3$	$25$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	121.1	$11^{2}$	$11^{2}$	$0.59274$	$(11)$	0	$\Z/5\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓	✓	✓		$5$	5B.1.1	$1$	$1$	$1$	$9.257718117$	0.370308724	$-\frac{4096}{11}$	$\bigl[0$ , $1$ , $i$ , $0$ , $0\bigr]$	${y}^2+i{y}={x}^{3}+{x}^{2}$
130.1-a1	130.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	130.1	$2 \cdot 5 \cdot 13$	$2^{18} \cdot 5^{9} \cdot 13$	$0.60347$	$(a+1), (-a-2), (-3a-2)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	$2$	$1$	$0.960726389$	0.480363194	$\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000}$	$\bigl[i$ , $-i + 1$ , $i$ , $89 i - 50$ , $-368 i + 14\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(89i-50\right){x}-368i+14$
130.1-a2	130.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	130.1	$2 \cdot 5 \cdot 13$	$2^{6} \cdot 5^{3} \cdot 13^{3}$	$0.60347$	$(a+1), (-a-2), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3Cs.1.1	$1$	$2 \cdot 3$	$1$	$2.882179168$	0.480363194	$-\frac{37525044319}{2197000} a - \frac{7169596274}{274625}$	$\bigl[i$ , $-i + 1$ , $i$ , $9 i + 5$ , $2 i + 18\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(9i+5\right){x}+2i+18$
130.1-a3	130.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	130.1	$2 \cdot 5 \cdot 13$	$2^{3} \cdot 5^{6} \cdot 13^{6}$	$0.60347$	$(a+1), (-a-2), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3Cs.1.1	$1$	$2^{2} \cdot 3$	$1$	$1.441089584$	0.480363194	$-\frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500}$	$\bigl[i$ , $-i + 1$ , $i$ , $-i + 15$ , $30 i + 30\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-i+15\right){x}+30i+30$
130.1-a4	130.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	130.1	$2 \cdot 5 \cdot 13$	$2^{9} \cdot 5^{18} \cdot 13^{2}$	$0.60347$	$(a+1), (-a-2), (-3a-2)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$1$	$2^{2}$	$1$	$0.480363194$	0.480363194	$\frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000}$	$\bigl[i$ , $-i + 1$ , $i$ , $9 i - 130$ , $-688 i - 882\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(9i-130\right){x}-688i-882$
130.1-a5	130.1-a	$6$	$18$	$\Q(\sqrt{-1})$	$2$	$[0, 1]$	130.1	$2 \cdot 5 \cdot 13$	$2^{2} \cdot 5 \cdot 13$	$0.60347$	$(a+1), (-a-2), (-3a-2)$	0	$\Z/6\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.1	$1$	$2$	$1$	$8.646537506$	0.480363194	$-\frac{31409}{130} a + \frac{101344}{65}$	$\bigl[i$ , $-i + 1$ , $i$ , $-i$ , $0\bigr]$	${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}-i{x}$

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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.