Elliptic curve search results

Results (15 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
9768.f3	9768a1	9768.f	9768a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$1792$	$0.059377$	$467147020288/1221$	$0.88815$	$3.22662$	$[0, -1, 0, -407, 3300]$	\(y^2=x^3-x^2-407x+3300\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 148.12.0.?, $\ldots$	$[ ]$
19536.bc3	19536n1	19536.bc	19536n	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$9768$	$48$	$0$	$1$	$16$	$2$	$1$	$3584$	$0.059377$	$467147020288/1221$	$0.88815$	$3.00025$	$[0, 1, 0, -407, -3300]$	\(y^2=x^3+x^2-407x-3300\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 148.12.0.?, $\ldots$	$[ ]$
29304.f3	29304r1	29304.f	29304r	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{7} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$3.870903051$	$1$		$3$	$14336$	$0.608683$	$467147020288/1221$	$0.88815$	$3.52285$	$[0, 0, 0, -3666, -85435]$	\(y^2=x^3-3666x-85435\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.2, 264.24.0.?, $\ldots$	$[(109, 900)]$
58608.h3	58608h1	58608.h	58608h	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{7} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$5.130836962$	$1$		$1$	$28672$	$0.608683$	$467147020288/1221$	$0.88815$	$3.30043$	$[0, 0, 0, -3666, 85435]$	\(y^2=x^3-3666x+85435\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 264.24.0.?, $\ldots$	$[(609/4, 2065/4)]$
78144.h3	78144bs1	78144.h	78144bs	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3 \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$9768$	$48$	$0$	$1$	$4$	$2$	$1$	$28672$	$0.405951$	$467147020288/1221$	$0.88815$	$3.00022$	$[0, -1, 0, -1629, -24771]$	\(y^2=x^3-x^2-1629x-24771\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 264.24.0.?, 296.24.0.?, $\ldots$	$[ ]$
78144.cc3	78144bl1	78144.cc	78144bl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3 \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$9768$	$48$	$0$	$5.686642256$	$1$		$3$	$28672$	$0.405951$	$467147020288/1221$	$0.88815$	$3.00022$	$[0, 1, 0, -1629, 24771]$	\(y^2=x^3+x^2-1629x+24771\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 264.24.0.?, 296.24.0.?, $\ldots$	$[(599, 14640)]$
107448.l3	107448o1	107448.l	107448o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 11^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1$	$4$	$2$	$1$	$215040$	$1.258324$	$467147020288/1221$	$0.88815$	$3.80067$	$[0, -1, 0, -49287, -4195200]$	\(y^2=x^3-x^2-49287x-4195200\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$	$[ ]$
214896.cn3	214896cc1	214896.cn	214896cc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 11^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1$	$4$	$2$	$1$	$430080$	$1.258324$	$467147020288/1221$	$0.88815$	$3.58610$	$[0, 1, 0, -49287, 4195200]$	\(y^2=x^3+x^2-49287x+4195200\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$	$[ ]$
234432.dp3	234432dp1	234432.dp	234432dp	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1$	$4$	$2$	$1$	$229376$	$0.955256$	$467147020288/1221$	$0.88815$	$3.26675$	$[0, 0, 0, -14664, -683480]$	\(y^2=x^3-14664x-683480\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 88.12.0.?, 264.24.0.?, $\ldots$	$[ ]$
234432.dt3	234432dt1	234432.dt	234432dt	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$5.980648399$	$1$		$11$	$229376$	$0.955256$	$467147020288/1221$	$0.88815$	$3.26675$	$[0, 0, 0, -14664, 683480]$	\(y^2=x^3-14664x+683480\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 88.12.0.?, 264.24.0.?, $\ldots$	$[(73, 45), (305/2, 745/2)]$
244200.bt3	244200bt1	244200.bt	244200bt	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$2.824953680$	$1$		$3$	$229376$	$0.864096$	$467147020288/1221$	$0.88815$	$3.16782$	$[0, 1, 0, -10183, 392138]$	\(y^2=x^3+x^2-10183x+392138\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 264.12.0.?, 296.12.0.?, $\ldots$	$[(67, 123)]$
322344.h3	322344h1	322344.h	322344h	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{7} \cdot 11^{7} \cdot 37 \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$9768$	$48$	$0$	$12.11500424$	$1$		$11$	$1720320$	$1.807631$	$467147020288/1221$	$0.88815$	$3.99117$	$[0, 0, 0, -443586, 113713985]$	\(y^2=x^3-443586x+113713985\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 296.24.0.?, 2442.6.0.?, $\ldots$	$[(388, 117), (5401/3, 215380/3)]$
361416.g3	361416g1	361416.g	361416g	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{4} \cdot 3 \cdot 11 \cdot 37^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$9768$	$48$	$0$	$1$	$4$	$2$	$3$	$2451456$	$1.864836$	$467147020288/1221$	$0.88815$	$4.00913$	$[0, -1, 0, -557639, 160465104]$	\(y^2=x^3-x^2-557639x+160465104\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 296.24.0.?, 2442.6.0.?, $\ldots$	$[ ]$
478632.bo3	478632bo1	478632.bo	478632bo	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 7^{6} \cdot 11 \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$68376$	$48$	$0$	$41.84729763$	$1$		$1$	$688128$	$1.032331$	$467147020288/1221$	$0.88815$	$3.15918$	$[0, 1, 0, -19959, -1091994]$	\(y^2=x^3+x^2-19959x-1091994\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 264.12.0.?, 296.12.0.?, $\ldots$	$[(2657/4, 28665/4), (5006/5, 215796/5)]$
488400.cb3	488400cb1	488400.cb	488400cb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$48840$	$48$	$0$	$30.33619531$	$1$		$3$	$458752$	$0.864096$	$467147020288/1221$	$0.88815$	$3.00019$	$[0, -1, 0, -10183, -392138]$	\(y^2=x^3-x^2-10183x-392138\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 264.12.0.?, 296.12.0.?, $\ldots$	$[(1078/3, 8200/3), (726, 19348)]$

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