Elliptic curve search results

Results (13 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	Manin constant
7095.c5	7095c1	7095.c	7095c	$6$	$8$	\( 3 \cdot 5 \cdot 11 \cdot 43 \)	\( - 3^{2} \cdot 5 \cdot 11^{8} \cdot 43 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.45	2B	$37840$	$192$	$1$	$2.636747795$	$1$		$5$	$10240$	$1.003931$	$-12539072261612161/414784434735$	$0.91713$	$4.18660$	$[1, 1, 1, -4840, 131240]$	\(y^2+xy+y=x^3+x^2-4840x+131240\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 40.48.0-40.cb.2.7, 176.48.0.?, $\ldots$	$[(194, 2460)]$	$1$
21285.e5	21285c1	21285.e	21285c	$6$	$8$	\( 3^{2} \cdot 5 \cdot 11 \cdot 43 \)	\( - 3^{8} \cdot 5 \cdot 11^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$113520$	$192$	$1$	$1$	$9$	$3$	$1$	$81920$	$1.553236$	$-12539072261612161/414784434735$	$0.91713$	$4.38651$	$[1, -1, 0, -43560, -3587045]$	\(y^2+xy=x^3-x^2-43560x-3587045\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[ ]$	$1$
35475.i5	35475h1	35475.i	35475h	$6$	$8$	\( 3 \cdot 5^{2} \cdot 11 \cdot 43 \)	\( - 3^{2} \cdot 5^{7} \cdot 11^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.87	2B	$37840$	$192$	$1$	$1$	$1$		$1$	$245760$	$1.808649$	$-12539072261612161/414784434735$	$0.91713$	$4.46518$	$[1, 0, 1, -121001, 16647023]$	\(y^2+xy+y=x^3-121001x+16647023\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 20.12.0-4.c.1.2, 40.48.0-40.cb.2.4, $\ldots$	$[ ]$	$1$
78045.j5	78045i1	78045.j	78045i	$6$	$8$	\( 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{2} \cdot 5 \cdot 11^{14} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.4	2B	$37840$	$192$	$1$	$1$	$4$	$2$	$1$	$1228800$	$2.202877$	$-12539072261612161/414784434735$	$0.91713$	$4.57261$	$[1, 1, 0, -585642, -177608889]$	\(y^2+xy=x^3+x^2-585642x-177608889\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 40.24.0.cb.2, $\ldots$	$[ ]$	$1$
106425.k5	106425j1	106425.k	106425j	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 43 \)	\( - 3^{8} \cdot 5^{7} \cdot 11^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$113520$	$192$	$1$	$3.852351222$	$1$		$5$	$1966080$	$2.357956$	$-12539072261612161/414784434735$	$0.91713$	$4.61085$	$[1, -1, 1, -1089005, -449469628]$	\(y^2+xy+y=x^3-x^2-1089005x-449469628\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.8, 40.24.0.cb.2, $\ldots$	$[(1224, 6475)]$	$1$
113520.bo5	113520bp1	113520.bo	113520bp	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 11^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.55	2B	$37840$	$192$	$1$	$17.60202478$	$1$		$1$	$655360$	$1.697077$	$-12539072261612161/414784434735$	$0.91713$	$3.90395$	$[0, 1, 0, -77440, -8554252]$	\(y^2=x^3+x^2-77440x-8554252\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 40.48.0-40.cb.2.3, 176.48.0.?, $\ldots$	$[(233943074/665, 2923189296768/665)]$	$1$
234135.f5	234135f1	234135.f	234135f	$6$	$8$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( - 3^{8} \cdot 5 \cdot 11^{14} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$113520$	$192$	$1$	$1$	$1$		$1$	$9830400$	$2.752186$	$-12539072261612161/414784434735$	$0.91713$	$4.69944$	$[1, -1, 1, -5270783, 4790169222]$	\(y^2+xy+y=x^3-x^2-5270783x+4790169222\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 40.24.0.cb.2, 48.24.0-8.n.1.6, $\ldots$	$[ ]$	$1$
305085.l5	305085l1	305085.l	305085l	$6$	$8$	\( 3 \cdot 5 \cdot 11 \cdot 43^{2} \)	\( - 3^{2} \cdot 5 \cdot 11^{8} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.87	2B	$37840$	$192$	$1$	$1$	$1$		$1$	$18923520$	$2.884529$	$-12539072261612161/414784434735$	$0.91713$	$4.72670$	$[1, 0, 1, -8949199, -10595598379]$	\(y^2+xy+y=x^3-8949199x-10595598379\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 20.12.0-4.c.1.2, 40.48.0-40.cb.2.13, $\ldots$	$[ ]$	$1$
340560.bj5	340560bj1	340560.bj	340560bj	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 11^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$113520$	$192$	$1$	$0.950789866$	$1$		$7$	$5242880$	$2.246384$	$-12539072261612161/414784434735$	$0.91713$	$4.08473$	$[0, 0, 0, -696963, 230267842]$	\(y^2=x^3-696963x+230267842\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(-241, 19602)]$	$1$
347655.bd5	347655bd1	347655.bd	347655bd	$6$	$8$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 43 \)	\( - 3^{2} \cdot 5 \cdot 7^{6} \cdot 11^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$264880$	$192$	$1$	$1$	$1$		$1$	$3932160$	$1.976885$	$-12539072261612161/414784434735$	$0.91713$	$3.82466$	$[1, 0, 0, -237161, -45726864]$	\(y^2+xy=x^3-237161x-45726864\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 40.24.0.cb.2, $\ldots$	$[ ]$	$1$
390225.p5	390225p1	390225.p	390225p	$6$	$8$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \)	\( - 3^{2} \cdot 5^{7} \cdot 11^{14} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.8	2B	$37840$	$192$	$1$	$40.77764633$	$1$		$1$	$29491200$	$3.007599$	$-12539072261612161/414784434735$	$0.91713$	$4.75104$	$[1, 0, 0, -14641063, -22171829008]$	\(y^2+xy=x^3-14641063x-22171829008\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 40.24.0.cb.2, $\ldots$	$[(1917695459368067497/17019839, 2022742359720941751237091946/17019839)]$	$1$
454080.t5	454080t1	454080.t	454080t	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{18} \cdot 3^{2} \cdot 5 \cdot 11^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$37840$	$192$	$1$	$2.694743799$	$1$		$5$	$5242880$	$2.043652$	$-12539072261612161/414784434735$	$0.91713$	$3.80775$	$[0, -1, 0, -309761, -68124255]$	\(y^2=x^3-x^2-309761x-68124255\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 40.48.0-40.cb.2.5, 176.48.0.?, $\ldots$	$[(1349, 44352)]$	$1$
454080.ct5	454080ct1	454080.ct	454080ct	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 43 \)	\( - 2^{18} \cdot 3^{2} \cdot 5 \cdot 11^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$37840$	$192$	$1$	$3.180343345$	$1$		$3$	$5242880$	$2.043652$	$-12539072261612161/414784434735$	$0.91713$	$3.80775$	$[0, 1, 0, -309761, 68124255]$	\(y^2=x^3+x^2-309761x+68124255\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 40.48.0-40.cb.2.1, 176.48.0.?, $\ldots$	$[(379, 2304)]$	$1$

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