Elliptic curve search results

Results (29 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
1596.a1	1596b2	1596.a	1596b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.511593739$	$1$		$9$	$1728$	$0.818982$	$1367595682000/402300927$	$0.92192$	$4.54076$	$[0, -1, 0, -1468, -14696]$	\(y^2=x^3-x^2-1468x-14696\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-30, 38)]$
4788.c1	4788b2	4788.c	4788b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$13824$	$1.368288$	$1367595682000/402300927$	$0.92192$	$4.72994$	$[0, 0, 0, -13215, 410006]$	\(y^2=x^3-13215x+410006\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
6384.bd1	6384bc2	6384.bd	6384bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$6912$	$0.818982$	$1367595682000/402300927$	$0.92192$	$3.82230$	$[0, 1, 0, -1468, 14696]$	\(y^2=x^3+x^2-1468x+14696\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
11172.p1	11172p2	11172.p	11172p	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{9} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$82944$	$1.791937$	$1367595682000/402300927$	$0.92192$	$4.84539$	$[0, 1, 0, -71948, 5184612]$	\(y^2=x^3+x^2-71948x+5184612\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
19152.be1	19152bq2	19152.be	19152bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$55296$	$1.368288$	$1367595682000/402300927$	$0.92192$	$4.06494$	$[0, 0, 0, -13215, -410006]$	\(y^2=x^3-13215x-410006\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
25536.x1	25536cj2	25536.x	25536cj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 19^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.415312314$	$1$		$27$	$55296$	$1.165556$	$1367595682000/402300927$	$0.92192$	$3.70996$	$[0, -1, 0, -5873, 123441]$	\(y^2=x^3-x^2-5873x+123441\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(80, 399), (-15, 456)]$
25536.cr1	25536x2	25536.cr	25536x	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$55296$	$1.165556$	$1367595682000/402300927$	$0.92192$	$3.70996$	$[0, 1, 0, -5873, -123441]$	\(y^2=x^3+x^2-5873x-123441\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
30324.h1	30324h2	30324.h	30324h	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$622080$	$2.291203$	$1367595682000/402300927$	$0.92192$	$4.95711$	$[0, 1, 0, -530068, 103980020]$	\(y^2=x^3+x^2-530068x+103980020\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
33516.n1	33516e2	33516.n	33516e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{9} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$663552$	$2.341244$	$1367595682000/402300927$	$0.92192$	$4.96713$	$[0, 0, 0, -647535, -140632058]$	\(y^2=x^3-647535x-140632058\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
39900.x1	39900u2	39900.x	39900u	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.720460833$	$1$		$3$	$248832$	$1.623701$	$1367595682000/402300927$	$0.92192$	$4.07262$	$[0, 1, 0, -36708, -1910412]$	\(y^2=x^3+x^2-36708x-1910412\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-133, 798)]$
44688.u1	44688ci2	44688.u	44688ci	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{9} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.791937$	$1367595682000/402300927$	$0.92192$	$4.21806$	$[0, -1, 0, -71948, -5184612]$	\(y^2=x^3-x^2-71948x-5184612\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
76608.cd1	76608z2	76608.cd	76608z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{14} \cdot 3^{8} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.714861$	$1367595682000/402300927$	$0.92192$	$3.93367$	$[0, 0, 0, -52860, 3280048]$	\(y^2=x^3-52860x+3280048\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
76608.dr1	76608fi2	76608.dr	76608fi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{14} \cdot 3^{8} \cdot 7^{3} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.447602896$	$1$		$9$	$442368$	$1.714861$	$1367595682000/402300927$	$0.92192$	$3.93367$	$[0, 0, 0, -52860, -3280048]$	\(y^2=x^3-52860x-3280048\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-106, 1064)]$
90972.f1	90972a2	90972.f	90972a	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$4976640$	$2.840508$	$1367595682000/402300927$	$0.92192$	$5.05745$	$[0, 0, 0, -4770615, -2812231154]$	\(y^2=x^3-4770615x-2812231154\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
119700.by1	119700bk2	119700.by	119700bk	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{3} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.325552933$	$1$		$15$	$1990656$	$2.173008$	$1367595682000/402300927$	$0.92192$	$4.25371$	$[0, 0, 0, -330375, 51250750]$	\(y^2=x^3-330375x+51250750\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-1, 7182)]$
121296.bd1	121296cf2	121296.bd	121296cf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 19^{10} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$9.650026472$	$1$		$5$	$2488320$	$2.291203$	$1367595682000/402300927$	$0.92192$	$4.37006$	$[0, -1, 0, -530068, -103980020]$	\(y^2=x^3-x^2-530068x-103980020\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-291, 5054), (-515, 5670)]$
134064.cu1	134064bj2	134064.cu	134064bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{9} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.304356855$	$1$		$5$	$2654208$	$2.341244$	$1367595682000/402300927$	$0.92192$	$4.38388$	$[0, 0, 0, -647535, 140632058]$	\(y^2=x^3-647535x+140632058\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(5026, 351918)]$
159600.bd1	159600es2	159600.bd	159600es	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$995328$	$1.623701$	$1367595682000/402300927$	$0.92192$	$3.60136$	$[0, -1, 0, -36708, 1910412]$	\(y^2=x^3-x^2-36708x+1910412\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
178752.cy1	178752jt2	178752.cy	178752jt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{14} \cdot 3^{2} \cdot 7^{9} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$3.572508023$	$1$		$3$	$2654208$	$2.138512$	$1367595682000/402300927$	$0.92192$	$4.07844$	$[0, -1, 0, -287793, 41764689]$	\(y^2=x^3-x^2-287793x+41764689\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-145, 8968)]$
178752.hv1	178752bq2	178752.hv	178752bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{14} \cdot 3^{2} \cdot 7^{9} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.138512$	$1367595682000/402300927$	$0.92192$	$4.07844$	$[0, 1, 0, -287793, -41764689]$	\(y^2=x^3+x^2-287793x-41764689\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
193116.l1	193116bd2	193116.l	193116bd	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 11^{6} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$2419200$	$2.017929$	$1367595682000/402300927$	$0.92192$	$3.93365$	$[0, -1, 0, -177668, 20271000]$	\(y^2=x^3-x^2-177668x+20271000\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
212268.o1	212268bv2	212268.o	212268bv	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 7^{9} \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$4$	$2$	$1$	$29859840$	$3.264156$	$1367595682000/402300927$	$0.92192$	$5.12256$	$[0, -1, 0, -25973348, -35717093544]$	\(y^2=x^3-x^2-25973348x-35717093544\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
269724.j1	269724j2	269724.j	269724j	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 13^{6} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.282075881$	$1$		$3$	$3317760$	$2.101456$	$1367595682000/402300927$	$0.92192$	$3.90870$	$[0, -1, 0, -248148, -33279624]$	\(y^2=x^3-x^2-248148x-33279624\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-255, 3654)]$
279300.r1	279300r2	279300.r	279300r	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.951737118$	$1$		$1$	$11943936$	$2.596657$	$1367595682000/402300927$	$0.92192$	$4.37170$	$[0, -1, 0, -1798708, 651673912]$	\(y^2=x^3-x^2-1798708x+651673912\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(1977/4, 1329125/4)]$
363888.cn1	363888cn2	363888.cn	363888cn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.630042534$	$1$		$3$	$19906560$	$2.840508$	$1367595682000/402300927$	$0.92192$	$4.50991$	$[0, 0, 0, -4770615, 2812231154]$	\(y^2=x^3-4770615x+2812231154\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(538, 20034)]$
461244.z1	461244z2	461244.z	461244z	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 17^{2} \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{3} \cdot 17^{6} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.907017997$	$1$		$5$	$7188480$	$2.235588$	$1367595682000/402300927$	$0.92192$	$3.87132$	$[0, 1, 0, -424348, -74747356]$	\(y^2=x^3+x^2-424348x-74747356\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-212, 2394)]$
478800.cc1	478800cc2	478800.cc	478800cc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{3} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$3.651173562$	$1$		$3$	$7962624$	$2.173008$	$1367595682000/402300927$	$0.92192$	$3.80284$	$[0, 0, 0, -330375, -51250750]$	\(y^2=x^3-330375x-51250750\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-470, 450)]$
485184.cd1	485184cd2	485184.cd	485184cd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 19^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$4$	$2$	$1$	$19906560$	$2.637775$	$1367595682000/402300927$	$0.92192$	$4.22499$	$[0, -1, 0, -2120273, 833960433]$	\(y^2=x^3-x^2-2120273x+833960433\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[]$
485184.ha1	485184ha2	485184.ha	485184ha	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$3.849345596$	$1$		$1$	$19906560$	$2.637775$	$1367595682000/402300927$	$0.92192$	$4.22499$	$[0, 1, 0, -2120273, -833960433]$	\(y^2=x^3+x^2-2120273x-833960433\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(-10301/3, 262808/3)]$

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