Elliptic curve search results

Results (30 matches)

 

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
1624.e1	1624c1	1624.e	1624c	$2$	$2$	\( 2^{3} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 7^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$112$	$-0.472172$	$2725888/1421$	$0.77935$	$2.37951$	$[0, -1, 0, -7, 0]$	\(y^2=x^3-x^2-7x\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
3248.e1	3248e1	3248.e	3248e	$2$	$2$	\( 2^{4} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 7^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$224$	$-0.472172$	$2725888/1421$	$0.77935$	$2.17553$	$[0, 1, 0, -7, 0]$	\(y^2=x^3+x^2-7x\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
11368.b1	11368m1	11368.b	11368m	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 7^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$0.802081047$	$1$		$7$	$5376$	$0.500783$	$2725888/1421$	$0.77935$	$3.13393$	$[0, 1, 0, -359, 706]$	\(y^2=x^3+x^2-359x+706\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-5, 49)]$
12992.d1	12992h1	12992.d	12992h	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29 \)	\( 2^{10} \cdot 7^{2} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1.966445428$	$1$		$13$	$1792$	$-0.125599$	$2725888/1421$	$0.77935$	$2.29620$	$[0, 1, 0, -29, -29]$	\(y^2=x^3+x^2-29x-29\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(6, 7), (-2, 5)]$
12992.bi1	12992bl1	12992.bi	12992bl	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29 \)	\( 2^{10} \cdot 7^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$1792$	$-0.125599$	$2725888/1421$	$0.77935$	$2.29620$	$[0, -1, 0, -29, 29]$	\(y^2=x^3-x^2-29x+29\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
14616.b1	14616c1	14616.b	14616c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1.055514408$	$1$		$7$	$2688$	$0.077134$	$2725888/1421$	$0.77935$	$2.52168$	$[0, 0, 0, -66, 65]$	\(y^2=x^3-66x+65\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(8, 7)]$
22736.bh1	22736k1	22736.bh	22736k	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 7^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.500783$	$2725888/1421$	$0.77935$	$2.91739$	$[0, -1, 0, -359, -706]$	\(y^2=x^3-x^2-359x-706\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
29232.j1	29232n1	29232.j	29232n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$5376$	$0.077134$	$2725888/1421$	$0.77935$	$2.35170$	$[0, 0, 0, -66, -65]$	\(y^2=x^3-66x-65\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
40600.c1	40600f1	40600.c	40600f	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1.212961029$	$1$		$17$	$14336$	$0.332547$	$2725888/1421$	$0.77935$	$2.56773$	$[0, 1, 0, -183, -362]$	\(y^2=x^3+x^2-183x-362\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-7, 25), (18, 50)]$
47096.d1	47096c1	47096.d	47096c	$2$	$2$	\( 2^{3} \cdot 7 \cdot 29^{2} \)	\( 2^{4} \cdot 7^{2} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$3.996114986$	$1$		$3$	$94080$	$1.211475$	$2725888/1421$	$0.77935$	$3.51253$	$[0, 1, 0, -6167, -60770]$	\(y^2=x^3+x^2-6167x-60770\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(165, 1855)]$
81200.ca1	81200b1	81200.ca	81200b	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$2.638053270$	$1$		$1$	$28672$	$0.332547$	$2725888/1421$	$0.77935$	$2.41029$	$[0, -1, 0, -183, 362]$	\(y^2=x^3-x^2-183x+362\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(53/2, 75/2)]$
90944.u1	90944eh1	90944.u	90944eh	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 29 \)	\( 2^{10} \cdot 7^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$86016$	$0.847357$	$2725888/1421$	$0.77935$	$2.92742$	$[0, 1, 0, -1437, -7085]$	\(y^2=x^3+x^2-1437x-7085\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
90944.ef1	90944bz1	90944.ef	90944bz	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 29 \)	\( 2^{10} \cdot 7^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$6.961325242$	$1$		$1$	$86016$	$0.847357$	$2725888/1421$	$0.77935$	$2.92742$	$[0, -1, 0, -1437, 7085]$	\(y^2=x^3-x^2-1437x+7085\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(1981/3, 86680/3)]$
94192.bg1	94192l1	94192.bg	94192l	$2$	$2$	\( 2^{4} \cdot 7 \cdot 29^{2} \)	\( 2^{4} \cdot 7^{2} \cdot 29^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$9$	$3$	$1$	$188160$	$1.211475$	$2725888/1421$	$0.77935$	$3.29995$	$[0, -1, 0, -6167, 60770]$	\(y^2=x^3-x^2-6167x+60770\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
102312.br1	102312q1	102312.br	102312q	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.050089$	$2725888/1421$	$0.77935$	$3.10842$	$[0, 0, 0, -3234, -22295]$	\(y^2=x^3-3234x-22295\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
116928.eg1	116928z1	116928.eg	116928z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$4.719179584$	$1$		$9$	$43008$	$0.423707$	$2725888/1421$	$0.77935$	$2.42872$	$[0, 0, 0, -264, 520]$	\(y^2=x^3-264x+520\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-7, 45), (18, 40)]$
116928.eo1	116928ee1	116928.eo	116928ee	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$43008$	$0.423707$	$2725888/1421$	$0.77935$	$2.42872$	$[0, 0, 0, -264, -520]$	\(y^2=x^3-264x-520\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
196504.bg1	196504bj1	196504.bg	196504bj	$2$	$2$	\( 2^{3} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 2^{4} \cdot 7^{2} \cdot 11^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$161280$	$0.726775$	$2725888/1421$	$0.77935$	$2.62366$	$[0, -1, 0, -887, 3500]$	\(y^2=x^3-x^2-887x+3500\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
204624.eo1	204624fe1	204624.eo	204624fe	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$258048$	$1.050089$	$2725888/1421$	$0.77935$	$2.93223$	$[0, 0, 0, -3234, 22295]$	\(y^2=x^3-3234x+22295\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
274456.v1	274456v1	274456.v	274456v	$2$	$2$	\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 29 \)	\( 2^{4} \cdot 7^{2} \cdot 13^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$215040$	$0.810303$	$2725888/1421$	$0.77935$	$2.63370$	$[0, -1, 0, -1239, -4876]$	\(y^2=x^3-x^2-1239x-4876\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
284200.ce1	284200ce1	284200.ce	284200ce	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 29 \)	\( 2^{4} \cdot 5^{6} \cdot 7^{8} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$688128$	$1.305502$	$2725888/1421$	$0.77935$	$3.09960$	$[0, -1, 0, -8983, 106212]$	\(y^2=x^3-x^2-8983x+106212\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
324800.w1	324800w1	324800.w	324800w	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1.287019615$	$1$		$5$	$229376$	$0.679120$	$2725888/1421$	$0.77935$	$2.47471$	$[0, 1, 0, -733, 2163]$	\(y^2=x^3+x^2-733x+2163\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(38, 175)]$
324800.gj1	324800gj1	324800.gj	324800gj	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$3.395465024$	$1$		$3$	$229376$	$0.679120$	$2725888/1421$	$0.77935$	$2.47471$	$[0, -1, 0, -733, -2163]$	\(y^2=x^3-x^2-733x-2163\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-12, 69)]$
329672.ba1	329672ba1	329672.ba	329672ba	$2$	$2$	\( 2^{3} \cdot 7^{2} \cdot 29^{2} \)	\( 2^{4} \cdot 7^{8} \cdot 29^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$4515840$	$2.184429$	$2725888/1421$	$0.77935$	$3.89349$	$[0, -1, 0, -302199, 20239724]$	\(y^2=x^3-x^2-302199x+20239724\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$
365400.cq1	365400cq1	365400.cq	365400cq	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1.106606281$	$1$		$7$	$344064$	$0.881853$	$2725888/1421$	$0.77935$	$2.64188$	$[0, 0, 0, -1650, 8125]$	\(y^2=x^3-1650x+8125\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(50, 225)]$
376768.n1	376768n1	376768.n	376768n	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$0.918168685$	$1$		$7$	$1505280$	$1.558050$	$2725888/1421$	$0.77935$	$3.26757$	$[0, 1, 0, -24669, 461491]$	\(y^2=x^3+x^2-24669x+461491\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-10, 841)]$
376768.cv1	376768cv1	376768.cv	376768cv	$2$	$2$	\( 2^{6} \cdot 7 \cdot 29^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$4.425258279$	$1$		$3$	$1505280$	$1.558050$	$2725888/1421$	$0.77935$	$3.26757$	$[0, -1, 0, -24669, -461491]$	\(y^2=x^3-x^2-24669x-461491\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-55, 852)]$
393008.h1	393008h1	393008.h	393008h	$2$	$2$	\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 2^{4} \cdot 7^{2} \cdot 11^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$5.301796393$	$1$		$1$	$322560$	$0.726775$	$2725888/1421$	$0.77935$	$2.48248$	$[0, 1, 0, -887, -3500]$	\(y^2=x^3+x^2-887x-3500\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(-239/4, 5215/4)]$
423864.o1	423864o1	423864.o	423864o	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$2.635382483$	$1$		$1$	$2257920$	$1.760782$	$2725888/1421$	$0.77935$	$3.42562$	$[0, 0, 0, -55506, 1585285]$	\(y^2=x^3-55506x+1585285\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[(2465/2, 113535/2)]$
469336.a1	469336a1	469336.a	469336a	$2$	$2$	\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 29 \)	\( 2^{4} \cdot 7^{2} \cdot 17^{6} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$551936$	$0.944434$	$2725888/1421$	$0.77935$	$2.64875$	$[0, 1, 0, -2119, -12534]$	\(y^2=x^3+x^2-2119x-12534\)	2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?	$[]$