Elliptic curve search results

Results (12 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
11130.m1	11130l3	11130.m	11130l	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{20} \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$1272$	$48$	$0$	$1.155530143$	$1$		$6$	$122880$	$1.960159$	$36928196050908253259449/452758954469850$	$0.98752$	$5.57701$	$2$	$[1, 0, 1, -693764, -222471088]$	\(y^2+xy+y=x^3-693764x-222471088\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 212.12.0.?, $\ldots$	$[(-480, 271)]$	$1$
33390.bv1	33390bx4	33390.bv	33390bx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{26} \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1272$	$48$	$0$	$1$	$4$	$2$	$0$	$983040$	$2.509464$	$36928196050908253259449/452758954469850$	$0.98752$	$5.62163$	$2$	$[1, -1, 1, -6243872, 6006719369]$	\(y^2+xy+y=x^3-x^2-6243872x+6006719369\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 424.24.0.?, $\ldots$	$[ ]$	$1$
55650.bw1	55650bv4	55650.bw	55650bv	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{20} \cdot 5^{8} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6360$	$48$	$0$	$26.48099939$	$1$		$0$	$2949120$	$2.764877$	$36928196050908253259449/452758954469850$	$0.98752$	$5.63932$	$2$	$[1, 1, 1, -17344088, -27808885969]$	\(y^2+xy+y=x^3+x^2-17344088x-27808885969\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(1353692742505/9768, 1491032652284181289/9768)]$	$1$
77910.r1	77910n4	77910.r	77910n	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \)	\( 2 \cdot 3^{20} \cdot 5^{2} \cdot 7^{8} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8904$	$48$	$0$	$5.853172487$	$1$		$0$	$5898240$	$2.933113$	$36928196050908253259449/452758954469850$	$0.98752$	$5.65009$	$2$	$[1, 1, 0, -33994412, 76273588686]$	\(y^2+xy=x^3+x^2-33994412x+76273588686\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[(13695/2, 32463/2)]$	$1$
89040.f1	89040z4	89040.f	89040z	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{13} \cdot 3^{20} \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1272$	$48$	$0$	$1$	$1$		$1$	$2949120$	$2.653305$	$36928196050908253259449/452758954469850$	$0.98752$	$5.28928$	$2$	$[0, -1, 0, -11100216, 14238149616]$	\(y^2=x^3-x^2-11100216x+14238149616\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 212.12.0.?, $\ldots$	$[ ]$	$1$
166950.w1	166950ey3	166950.w	166950ey	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2 \cdot 3^{26} \cdot 5^{8} \cdot 7^{2} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6360$	$48$	$0$	$1$	$1$		$0$	$23592960$	$3.314182$	$36928196050908253259449/452758954469850$	$0.98752$	$5.67227$	$2$	$[1, -1, 0, -156096792, 750683824366]$	\(y^2+xy=x^3-x^2-156096792x+750683824366\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[ ]$	$1$
233730.cx1	233730cx4	233730.cx	233730cx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 53 \)	\( 2 \cdot 3^{26} \cdot 5^{2} \cdot 7^{8} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8904$	$48$	$0$	$45.67833608$	$1$		$0$	$47185920$	$3.482418$	$36928196050908253259449/452758954469850$	$0.98752$	$5.68119$	$2$	$[1, -1, 1, -305949713, -2059692844233]$	\(y^2+xy+y=x^3-x^2-305949713x-2059692844233\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$	$[(450472001205149760075/55777426, 9475089733227067918404397785381/55777426)]$	$1$
267120.cz1	267120cz4	267120.cz	267120cz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{13} \cdot 3^{26} \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1272$	$48$	$0$	$9.242377855$	$1$		$3$	$23592960$	$3.202610$	$36928196050908253259449/452758954469850$	$0.98752$	$5.35176$	$2$	$[0, 0, 0, -99901947, -384330137686]$	\(y^2=x^3-99901947x-384330137686\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 424.24.0.?, $\ldots$	$[(17318, 1754840)]$	$1$
356160.dd1	356160dd4	356160.dd	356160dd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1272$	$48$	$0$	$1$	$4$	$2$	$1$	$23592960$	$2.999878$	$36928196050908253259449/452758954469850$	$0.98752$	$5.04101$	$2$	$[0, -1, 0, -44400865, -113860796063]$	\(y^2=x^3-x^2-44400865x-113860796063\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 424.24.0.?, 1272.48.0.?	$[ ]$	$1$
356160.gm1	356160gm3	356160.gm	356160gm	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1272$	$48$	$0$	$3.422111318$	$1$		$7$	$23592960$	$2.999878$	$36928196050908253259449/452758954469850$	$0.98752$	$5.04101$	$1$	$[0, 1, 0, -44400865, 113860796063]$	\(y^2=x^3+x^2-44400865x+113860796063\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 424.24.0.?, 1272.48.0.?	$[(7031, 386400)]$	$1$
389550.gs1	389550gs3	389550.gs	389550gs	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 53 \)	\( 2 \cdot 3^{20} \cdot 5^{8} \cdot 7^{8} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$44520$	$48$	$0$	$2.866113858$	$1$		$0$	$141557760$	$3.737831$	$36928196050908253259449/452758954469850$	$0.98752$	$5.69384$	$2$	$[1, 0, 0, -849860313, 9535898306367]$	\(y^2+xy=x^3-849860313x+9535898306367\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 280.12.0.?, 424.12.0.?, $\ldots$	$[(67923/2, 189327/2)]$	$1$
445200.gz1	445200gz3	445200.gz	445200gz	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2^{13} \cdot 3^{20} \cdot 5^{8} \cdot 7^{2} \cdot 53 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6360$	$48$	$0$	$0.678700039$	$1$		$9$	$70778880$	$3.458023$	$36928196050908253259449/452758954469850$	$0.98752$	$5.37722$	$2$	$[0, 1, 0, -277505408, 1779213691188]$	\(y^2=x^3+x^2-277505408x+1779213691188\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(9778, 27000)]$	$1$

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