Elliptic curve search results

Results (10 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6690.j2	6690j1	6690.j	6690j	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 223 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$187320$	$96$	$2$	$1$	$1$		$6$	$19992$	$1.165943$	$-34773983355859201/4877010000000$	$0.94215$	$4.34867$	$[1, 0, 0, -6800, 240000]$	\(y^2+xy=x^3-6800x+240000\)	7.48.0-7.a.1.2, 26760.2.0.?, 187320.96.2.?	$[]$
20070.g2	20070k1	20070.g	20070k	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 223 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{7} \cdot 223 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$1$	$1$		$0$	$159936$	$1.715250$	$-34773983355859201/4877010000000$	$0.94215$	$4.53179$	$[1, -1, 0, -61200, -6480000]$	\(y^2+xy=x^3-x^2-61200x-6480000\)	7.24.0.a.1, 21.48.0-7.a.1.2, 26760.2.0.?, 62440.48.0.?, 187320.96.2.?	$[]$
33450.e2	33450b1	33450.e	33450b	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 223 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{13} \cdot 223 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$1$	$1$		$0$	$479808$	$1.970663$	$-34773983355859201/4877010000000$	$0.94215$	$4.60378$	$[1, 1, 0, -170000, 30000000]$	\(y^2+xy=x^3+x^2-170000x+30000000\)	7.24.0.a.1, 35.48.0-7.a.1.1, 26760.2.0.?, 37464.48.0.?, 187320.96.2.?	$[]$
53520.l2	53520q1	53520.l	53520q	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{7} \cdot 223 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$1$	$1$		$0$	$479808$	$1.859091$	$-34773983355859201/4877010000000$	$0.94215$	$4.28207$	$[0, -1, 0, -108800, -15360000]$	\(y^2=x^3-x^2-108800x-15360000\)	7.24.0.a.1, 28.48.0-7.a.1.1, 26760.2.0.?, 187320.96.2.?	$[]$
100350.by2	100350cn1	100350.by	100350cn	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 223 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{13} \cdot 223 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$2.109114051$	$1$		$12$	$3838464$	$2.519970$	$-34773983355859201/4877010000000$	$0.94215$	$4.73697$	$[1, -1, 1, -1530005, -811530003]$	\(y^2+xy+y=x^3-x^2-1530005x-811530003\)	7.24.0.a.1, 105.48.0.?, 12488.48.0.?, 26760.2.0.?, 187320.96.2.?	$[(20999, 3027000), (2249, 83250)]$
160560.j2	160560u1	160560.j	160560u	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 223 \)	\( - 2^{19} \cdot 3^{13} \cdot 5^{7} \cdot 223 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$1$	$1$		$0$	$3838464$	$2.408398$	$-34773983355859201/4877010000000$	$0.94215$	$4.43953$	$[0, 0, 0, -979203, 415699202]$	\(y^2=x^3-979203x+415699202\)	7.24.0.a.1, 84.48.0.?, 26760.2.0.?, 62440.48.0.?, 187320.96.2.?	$[]$
214080.j2	214080cu1	214080.j	214080cu	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{7} \cdot 223 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$3.763280684$	$1$		$2$	$3838464$	$2.205666$	$-34773983355859201/4877010000000$	$0.94215$	$4.13727$	$[0, -1, 0, -435201, 123315201]$	\(y^2=x^3-x^2-435201x+123315201\)	7.24.0.a.1, 56.48.0-7.a.1.1, 26760.2.0.?, 93660.48.0.?, 187320.96.2.?	$[(-767, 2304)]$
214080.bt2	214080o1	214080.bt	214080o	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{7} \cdot 223 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$1$	$1$		$0$	$3838464$	$2.205666$	$-34773983355859201/4877010000000$	$0.94215$	$4.13727$	$[0, 1, 0, -435201, -123315201]$	\(y^2=x^3+x^2-435201x-123315201\)	7.24.0.a.1, 56.48.0-7.a.1.2, 26760.2.0.?, 46830.48.0.?, 187320.96.2.?	$[]$
267600.ch2	267600ch1	267600.ch	267600ch	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 223 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{13} \cdot 223 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$187320$	$96$	$2$	$3.456850571$	$1$		$2$	$11515392$	$2.663811$	$-34773983355859201/4877010000000$	$0.94215$	$4.50331$	$[0, 1, 0, -2720008, -1925440012]$	\(y^2=x^3+x^2-2720008x-1925440012\)	7.24.0.a.1, 140.48.0.?, 26760.2.0.?, 37464.48.0.?, 187320.96.2.?	$[(9278, 878400)]$
327810.bt2	327810bt1	327810.bt	327810bt	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 223 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 7^{6} \cdot 223 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$187320$	$96$	$2$	$1$	$9$	$3$	$0$	$7556976$	$2.138897$	$-34773983355859201/4877010000000$	$0.94215$	$3.93538$	$[1, 1, 1, -333201, -82653201]$	\(y^2+xy+y=x^3+x^2-333201x-82653201\)	7.48.0-7.a.1.1, 26760.2.0.?, 187320.96.2.?	$[]$

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