Elliptic curve search results

Results (30 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
3388.a1	3388b2	3388.a	3388b	$2$	$2$	\( 2^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 7^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$9504$	$1.294737$	$194672/49$	$0.86453$	$4.83579$	$[0, 1, 0, -10204, -301644]$	\(y^2=x^3+x^2-10204x-301644\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
3388.b1	3388e2	3388.b	3388e	$2$	$2$	\( 2^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 7^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$0.341725876$	$1$		$9$	$864$	$0.095789$	$194672/49$	$0.86453$	$3.06569$	$[0, 1, 0, -84, 196]$	\(y^2=x^3+x^2-84x+196\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(0, 14)]$
13552.u1	13552k2	13552.u	13552k	$2$	$2$	\( 2^{4} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 7^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$3456$	$0.095789$	$194672/49$	$0.86453$	$2.61900$	$[0, -1, 0, -84, -196]$	\(y^2=x^3-x^2-84x-196\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
13552.v1	13552w2	13552.v	13552w	$2$	$2$	\( 2^{4} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$10.08950334$	$1$		$1$	$38016$	$1.294737$	$194672/49$	$0.86453$	$4.13119$	$[0, -1, 0, -10204, 301644]$	\(y^2=x^3-x^2-10204x+301644\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-21339/22, 8675877/22)]$
23716.i1	23716e2	23716.i	23716e	$2$	$2$	\( 2^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 7^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$18.31432405$	$1$		$1$	$456192$	$2.267693$	$194672/49$	$0.86453$	$5.06068$	$[0, -1, 0, -500012, 102463880]$	\(y^2=x^3-x^2-500012x+102463880\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-363521915/758, 5596912966155/758)]$
23716.j1	23716d2	23716.j	23716d	$2$	$2$	\( 2^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$2.448746060$	$1$		$3$	$41472$	$1.068745$	$194672/49$	$0.86453$	$3.63249$	$[0, -1, 0, -4132, -75480]$	\(y^2=x^3-x^2-4132x-75480\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(642, 16170)]$
30492.be1	30492k2	30492.be	30492k	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$3.213123788$	$1$		$3$	$228096$	$1.844042$	$194672/49$	$0.86453$	$4.44513$	$[0, 0, 0, -91839, 8052550]$	\(y^2=x^3-91839x+8052550\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-325, 1890)]$
30492.bf1	30492z2	30492.bf	30492z	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$20736$	$0.645095$	$194672/49$	$0.86453$	$3.05171$	$[0, 0, 0, -759, -6050]$	\(y^2=x^3-759x-6050\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
54208.r1	54208bs2	54208.r	54208bs	$2$	$2$	\( 2^{6} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 7^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$27648$	$0.442362$	$194672/49$	$0.86453$	$2.66746$	$[0, 1, 0, -337, -1905]$	\(y^2=x^3+x^2-337x-1905\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
54208.s1	54208cn2	54208.s	54208cn	$2$	$2$	\( 2^{6} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$4.418331593$	$1$		$3$	$304128$	$1.641310$	$194672/49$	$0.86453$	$3.98733$	$[0, 1, 0, -40817, 2372335]$	\(y^2=x^3+x^2-40817x+2372335\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-14, 1715)]$
54208.cw1	54208d2	54208.cw	54208d	$2$	$2$	\( 2^{6} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$6.737058268$	$1$		$1$	$304128$	$1.641310$	$194672/49$	$0.86453$	$3.98733$	$[0, -1, 0, -40817, -2372335]$	\(y^2=x^3-x^2-40817x-2372335\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(6181/5, 201096/5)]$
54208.cz1	54208y2	54208.cz	54208y	$2$	$2$	\( 2^{6} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 7^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$27648$	$0.442362$	$194672/49$	$0.86453$	$2.66746$	$[0, -1, 0, -337, 1905]$	\(y^2=x^3-x^2-337x+1905\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
84700.bc1	84700d2	84700.bc	84700d	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.900508$	$194672/49$	$0.86453$	$3.04706$	$[0, -1, 0, -2108, 28712]$	\(y^2=x^3-x^2-2108x+28712\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
84700.bd1	84700o2	84700.bd	84700o	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$3.621143084$	$1$		$3$	$1216512$	$2.099457$	$194672/49$	$0.86453$	$4.31502$	$[0, -1, 0, -255108, -37195288]$	\(y^2=x^3-x^2-255108x-37195288\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-358, 2850)]$
94864.q1	94864bv2	94864.q	94864bv	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 7^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$11.95289543$	$1$		$1$	$1824768$	$2.267693$	$194672/49$	$0.86453$	$4.44851$	$[0, 1, 0, -500012, -102463880]$	\(y^2=x^3+x^2-500012x-102463880\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-1665831/68, 1751891365/68)]$
94864.s1	94864bu2	94864.s	94864bu	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$3.572445105$	$1$		$1$	$165888$	$1.068745$	$194672/49$	$0.86453$	$3.19309$	$[0, 1, 0, -4132, 75480]$	\(y^2=x^3+x^2-4132x+75480\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(29/2, 1715/2)]$
121968.eq1	121968dl2	121968.eq	121968dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$2.521435457$	$1$		$3$	$82944$	$0.645095$	$194672/49$	$0.86453$	$2.69048$	$[0, 0, 0, -759, 6050]$	\(y^2=x^3-759x+6050\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-22, 110)]$
121968.fe1	121968fd2	121968.fe	121968fd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$9$	$3$	$1$	$912384$	$1.844042$	$194672/49$	$0.86453$	$3.91896$	$[0, 0, 0, -91839, -8052550]$	\(y^2=x^3-91839x-8052550\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
213444.u1	213444v2	213444.u	213444v	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$10948608$	$2.816998$	$194672/49$	$0.86453$	$4.69170$	$[0, 0, 0, -4500111, -2762024650]$	\(y^2=x^3-4500111x-2762024650\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
213444.bb1	213444w2	213444.bb	213444w	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$995328$	$1.618050$	$194672/49$	$0.86453$	$3.51924$	$[0, 0, 0, -37191, 2075150]$	\(y^2=x^3-37191x+2075150\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
338800.v1	338800v2	338800.v	338800v	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$4866048$	$2.099457$	$194672/49$	$0.86453$	$3.84523$	$[0, 1, 0, -255108, 37195288]$	\(y^2=x^3+x^2-255108x+37195288\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
338800.ca1	338800ca2	338800.ca	338800ca	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$2.042827319$	$1$		$3$	$442368$	$0.900508$	$194672/49$	$0.86453$	$2.71532$	$[0, 1, 0, -2108, -28712]$	\(y^2=x^3+x^2-2108x-28712\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-17, 50)]$
379456.v1	379456v2	379456.v	379456v	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{14} \cdot 7^{8} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$2.303254856$	$1$		$17$	$1327104$	$1.415318$	$194672/49$	$0.86453$	$3.17225$	$[0, 1, 0, -16529, -620369]$	\(y^2=x^3+x^2-16529x-620369\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-89, 392), (-54, 343)]$
379456.ba1	379456ba2	379456.ba	379456ba	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{14} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$14598144$	$2.614265$	$194672/49$	$0.86453$	$4.29219$	$[0, 1, 0, -2000049, 817710991]$	\(y^2=x^3+x^2-2000049x+817710991\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
379456.hy1	379456hy2	379456.hy	379456hy	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{14} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$2.735302694$	$1$		$3$	$1327104$	$1.415318$	$194672/49$	$0.86453$	$3.17225$	$[0, -1, 0, -16529, 620369]$	\(y^2=x^3-x^2-16529x+620369\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(40, 147)]$
379456.id1	379456id2	379456.id	379456id	$2$	$2$	\( 2^{6} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{14} \cdot 7^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$24.82044511$	$1$		$1$	$14598144$	$2.614265$	$194672/49$	$0.86453$	$4.29219$	$[0, -1, 0, -2000049, -817710991]$	\(y^2=x^3-x^2-2000049x-817710991\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(-442345217315/30798, 106846207571157481/30798)]$
487872.dj1	487872dj2	487872.dj	487872dj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$7299072$	$2.190617$	$194672/49$	$0.86453$	$3.82170$	$[0, 0, 0, -367356, 64420400]$	\(y^2=x^3-367356x+64420400\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
487872.ea1	487872ea2	487872.ea	487872ea	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$2.160641509$	$1$		$5$	$663552$	$0.991669$	$194672/49$	$0.86453$	$2.72324$	$[0, 0, 0, -3036, 48400]$	\(y^2=x^3-3036x+48400\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(0, 220)]$
487872.eh1	487872eh2	487872.eh	487872eh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1$	$1$		$1$	$7299072$	$2.190617$	$194672/49$	$0.86453$	$3.82170$	$[0, 0, 0, -367356, -64420400]$	\(y^2=x^3-367356x-64420400\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[ ]$
487872.ey1	487872ey2	487872.ey	487872ey	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$308$	$12$	$0$	$1.261112232$	$1$		$7$	$663552$	$0.991669$	$194672/49$	$0.86453$	$2.72324$	$[0, 0, 0, -3036, -48400]$	\(y^2=x^3-3036x-48400\)	2.3.0.a.1, 28.6.0.e.1, 44.6.0.a.1, 308.12.0.?	$[(82, 504)]$

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