Elliptic curve search results

Results (14 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
7854.a2	7854a2	7854.a	7854a	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$0.833745171$	$1$		$12$	$9216$	$0.857700$	$8710408612492777/19986042384$	$0.92796$	$4.09234$	$[1, 1, 0, -4286, 106020]$	\(y^2+xy=x^3+x^2-4286x+106020\)	2.6.0.a.1, 28.12.0-2.a.1.1, 44.12.0-2.a.1.1, 204.12.0.?, 308.24.0.?, $\ldots$	$[(43, 38)]$
23562.bh2	23562bc2	23562.bh	23562bc	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$3.446762366$	$1$		$6$	$73728$	$1.407007$	$8710408612492777/19986042384$	$0.92796$	$4.30052$	$[1, -1, 1, -38579, -2901117]$	\(y^2+xy+y=x^3-x^2-38579x-2901117\)	2.6.0.a.1, 68.12.0-2.a.1.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$	$[(-111, 120)]$
54978.bd2	54978y2	54978.bd	54978y	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$15708$	$48$	$0$	$1$	$1$		$2$	$442368$	$1.830656$	$8710408612492777/19986042384$	$0.92796$	$4.43245$	$[1, 0, 1, -210040, -36994954]$	\(y^2+xy+y=x^3-210040x-36994954\)	2.6.0.a.1, 4.12.0-2.a.1.1, 308.24.0.?, 1428.24.0.?, 2244.24.0.?, $\ldots$	$[]$
62832.bk2	62832bz2	62832.bk	62832bz	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$2.095602349$	$1$		$9$	$221184$	$1.550848$	$8710408612492777/19986042384$	$0.92796$	$4.07496$	$[0, 1, 0, -68584, -6922444]$	\(y^2=x^3+x^2-68584x-6922444\)	2.6.0.a.1, 28.12.0-2.a.1.1, 44.12.0-2.a.1.1, 204.12.0.?, 308.24.0.?, $\ldots$	$[(-148, 90)]$
86394.bt2	86394cj2	86394.bt	86394cj	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 11^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$15708$	$48$	$0$	$4.750328281$	$1$		$4$	$1105920$	$2.056648$	$8710408612492777/19986042384$	$0.92796$	$4.49478$	$[1, 1, 1, -518669, -143705869]$	\(y^2+xy+y=x^3+x^2-518669x-143705869\)	2.6.0.a.1, 4.12.0-2.a.1.1, 308.24.0.?, 1428.24.0.?, 2244.24.0.?, $\ldots$	$[(-419, 734)]$
133518.bo2	133518bx2	133518.bo	133518bx	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$1$	$1$		$2$	$2654208$	$2.274307$	$8710408612492777/19986042384$	$0.92796$	$4.55030$	$[1, 0, 1, -1238805, 529547536]$	\(y^2+xy+y=x^3-1238805x+529547536\)	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 476.12.0.?, 748.12.0.?, $\ldots$	$[]$
164934.ch2	164934b2	164934.ch	164934b	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$2.167071332$	$1$		$8$	$3538944$	$2.379963$	$8710408612492777/19986042384$	$0.92796$	$4.57580$	$[1, -1, 1, -1890356, 998863751]$	\(y^2+xy+y=x^3-x^2-1890356x+998863751\)	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 476.12.0.?, 748.12.0.?, $\ldots$	$[(79, 29115)]$
188496.de2	188496bj2	188496.de	188496bj	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$3.379980056$	$1$		$7$	$1769472$	$2.100155$	$8710408612492777/19986042384$	$0.92796$	$4.24907$	$[0, 0, 0, -617259, 186288730]$	\(y^2=x^3-617259x+186288730\)	2.6.0.a.1, 68.12.0-2.a.1.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$	$[(-363, 19040)]$
196350.fq2	196350x2	196350.fq	196350x	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$78540$	$48$	$0$	$0.594465424$	$1$		$14$	$1179648$	$1.662418$	$8710408612492777/19986042384$	$0.92796$	$3.80384$	$[1, 0, 0, -107163, 13466817]$	\(y^2+xy=x^3-107163x+13466817\)	2.6.0.a.1, 140.12.0.?, 220.12.0.?, 308.12.0.?, 1020.12.0.?, $\ldots$	$[(72, 2439)]$
251328.cb2	251328cb2	251328.cb	251328cb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$31416$	$48$	$0$	$9.047879238$	$1$		$3$	$1769472$	$1.897421$	$8710408612492777/19986042384$	$0.92796$	$3.95512$	$[0, -1, 0, -274337, -55105215]$	\(y^2=x^3-x^2-274337x-55105215\)	2.6.0.a.1, 56.12.0-2.a.1.1, 88.12.0.?, 308.12.0.?, 408.12.0.?, $\ldots$	$[(-35373/11, 209700/11)]$
251328.en2	251328en2	251328.en	251328en	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$31416$	$48$	$0$	$2.024566586$	$1$		$11$	$1769472$	$1.897421$	$8710408612492777/19986042384$	$0.92796$	$3.95512$	$[0, 1, 0, -274337, 55105215]$	\(y^2=x^3+x^2-274337x+55105215\)	2.6.0.a.1, 56.12.0-2.a.1.1, 88.12.0.?, 308.12.0.?, 408.12.0.?, $\ldots$	$[(466, 5355)]$
259182.cp2	259182cp2	259182.cp	259182cp	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 11^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$15708$	$48$	$0$	$1$	$1$		$2$	$8847360$	$2.605953$	$8710408612492777/19986042384$	$0.92796$	$4.62744$	$[1, -1, 0, -4668021, 3875390437]$	\(y^2+xy=x^3-x^2-4668021x+3875390437\)	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 476.12.0.?, 748.12.0.?, $\ldots$	$[]$
400554.dh2	400554dh2	400554.dh	400554dh	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$15708$	$48$	$0$	$1$	$4$	$2$	$2$	$21233664$	$2.823612$	$8710408612492777/19986042384$	$0.92796$	$4.67375$	$[1, -1, 1, -11149241, -14297783479]$	\(y^2+xy+y=x^3-x^2-11149241x-14297783479\)	2.6.0.a.1, 4.12.0-2.a.1.1, 308.24.0.?, 1428.24.0.?, 2244.24.0.?, $\ldots$	$[]$
439824.cs2	439824cs2	439824.cs	439824cs	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$15708$	$48$	$0$	$4.285428669$	$1$		$7$	$10616832$	$2.523804$	$8710408612492777/19986042384$	$0.92796$	$4.36324$	$[0, -1, 0, -3360632, 2367677040]$	\(y^2=x^3-x^2-3360632x+2367677040\)	2.6.0.a.1, 4.12.0-2.a.1.1, 308.24.0.?, 1428.24.0.?, 2244.24.0.?, $\ldots$	$[(-1430, 65170)]$