Elliptic curve search results

Results (13 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
9282.h2	9282i2	9282.h	9282i	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$0.409439938$	$1$		$16$	$7680$	$0.628790$	$78364289651257/6978597444$	$0.89583$	$3.50186$	$[1, 0, 1, -892, 9350]$	\(y^2+xy+y=x^3-892x+9350\)	2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 884.12.0.?, $\ldots$	$[(4, 74)]$
27846.bj2	27846bd2	27846.bj	27846bd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$4.556501457$	$1$		$2$	$61440$	$1.178097$	$78364289651257/6978597444$	$0.89583$	$3.77002$	$[1, -1, 1, -8024, -252457]$	\(y^2+xy+y=x^3-x^2-8024x-252457\)	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 168.24.0.?, 1768.12.0.?, $\ldots$	$[(5919/2, 448487/2)]$
64974.m2	64974m2	64974.m	64974m	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{6} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$3.398697414$	$1$		$4$	$368640$	$1.601746$	$78364289651257/6978597444$	$0.89583$	$3.94052$	$[1, 1, 0, -43684, -3250820]$	\(y^2+xy=x^3+x^2-43684x-3250820\)	2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 168.24.0.?, 1768.12.0.?, $\ldots$	$[(1420, 52210)]$
74256.p2	74256cb2	74256.p	74256cb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$3$	$184320$	$1.321938$	$78364289651257/6978597444$	$0.89583$	$3.59422$	$[0, -1, 0, -14264, -598416]$	\(y^2=x^3-x^2-14264x-598416\)	2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 884.12.0.?, $\ldots$	$[]$
120666.ci2	120666ci2	120666.ci	120666ci	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$4.045527549$	$1$		$4$	$1290240$	$1.911264$	$78364289651257/6978597444$	$0.89583$	$4.04948$	$[1, 0, 0, -150667, 20693165]$	\(y^2+xy=x^3-150667x+20693165\)	2.6.0.a.1, 68.12.0-2.a.1.1, 104.12.0.?, 168.12.0.?, 1092.12.0.?, $\ldots$	$[(671/2, 2389/2)]$
157794.r2	157794cn2	157794.r	157794cn	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{8} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$7.833658847$	$1$		$16$	$2211840$	$2.045395$	$78364289651257/6978597444$	$0.89583$	$4.09320$	$[1, 1, 0, -257649, 46195425]$	\(y^2+xy=x^3+x^2-257649x+46195425\)	2.6.0.a.1, 52.12.0-2.a.1.1, 136.12.0.?, 168.12.0.?, 1428.12.0.?, $\ldots$	$[(33, 6126), (-67, 7981)]$
194922.dg2	194922h2	194922.dg	194922h	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{12} \cdot 7^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$2$	$2949120$	$2.151051$	$78364289651257/6978597444$	$0.89583$	$4.12628$	$[1, -1, 1, -393161, 87378981]$	\(y^2+xy+y=x^3-x^2-393161x+87378981\)	2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 1768.24.0.?, 18564.24.0.?, $\ldots$	$[]$
222768.fh2	222768by2	222768.fh	222768by	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$3$	$1474560$	$1.871243$	$78364289651257/6978597444$	$0.89583$	$3.80886$	$[0, 0, 0, -128379, 16285610]$	\(y^2=x^3-128379x+16285610\)	2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 168.24.0.?, 1768.12.0.?, $\ldots$	$[]$
232050.fj2	232050fj2	232050.fj	232050fj	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$185640$	$48$	$0$	$1$	$1$		$2$	$983040$	$1.433510$	$78364289651257/6978597444$	$0.89583$	$3.37110$	$[1, 1, 1, -22288, 1168781]$	\(y^2+xy+y=x^3+x^2-22288x+1168781\)	2.6.0.a.1, 40.12.0-2.a.1.1, 168.12.0.?, 420.12.0.?, 840.24.0.?, $\ldots$	$[]$
297024.cw2	297024cw2	297024.cw	297024cw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$37128$	$48$	$0$	$4.572450305$	$1$		$7$	$1474560$	$1.668510$	$78364289651257/6978597444$	$0.89583$	$3.52885$	$[0, -1, 0, -57057, 4844385]$	\(y^2=x^3-x^2-57057x+4844385\)	2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 1768.24.0.?, 18564.24.0.?, $\ldots$	$[(-256, 1615)]$
297024.he2	297024he2	297024.he	297024he	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$3$	$1474560$	$1.668510$	$78364289651257/6978597444$	$0.89583$	$3.52885$	$[0, 1, 0, -57057, -4844385]$	\(y^2=x^3+x^2-57057x-4844385\)	2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 1768.24.0.?, 18564.24.0.?, $\ldots$	$[]$
361998.p2	361998p2	361998.p	361998p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{12} \cdot 7^{2} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$3.593636467$	$1$		$6$	$10321920$	$2.460571$	$78364289651257/6978597444$	$0.89583$	$4.21690$	$[1, -1, 0, -1356003, -558715455]$	\(y^2+xy=x^3-x^2-1356003x-558715455\)	2.6.0.a.1, 168.12.0.?, 204.12.0.?, 312.12.0.?, 364.12.0.?, $\ldots$	$[(1677, 42537)]$
473382.dt2	473382dt2	473382.dt	473382dt	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 7^{2} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$37128$	$48$	$0$	$1$	$1$		$2$	$17694720$	$2.594704$	$78364289651257/6978597444$	$0.89583$	$4.25350$	$[1, -1, 1, -2318846, -1249595319]$	\(y^2+xy+y=x^3-x^2-2318846x-1249595319\)	2.6.0.a.1, 156.12.0.?, 168.12.0.?, 408.12.0.?, 476.12.0.?, $\ldots$	$[]$