Elliptic curve search results

Results (16 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
36960.x2	36960bl3	36960.x	36960bl	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$168$	$48$	$0$	$1$	$4$	$2$	$1$	$147456$	$1.602905$	$36489314991346568/1012845712725$	$0.95470$	$4.21904$	$[0, -1, 0, -55280, 4899672]$	\(y^2=x^3-x^2-55280x+4899672\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 28.12.0-4.c.1.1, $\ldots$	$[ ]$
36960.bn2	36960bs3	36960.bn	36960bs	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$168$	$48$	$0$	$1.011002526$	$1$		$5$	$147456$	$1.602905$	$36489314991346568/1012845712725$	$0.95470$	$4.21904$	$[0, 1, 0, -55280, -4899672]$	\(y^2=x^3+x^2-55280x-4899672\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 28.12.0-4.c.1.2, $\ldots$	$[(331, 3630)]$
73920.g1	73920ed4	73920.g	73920ed	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$168$	$48$	$0$	$1$	$4$	$2$	$1$	$589824$	$1.949478$	$36489314991346568/1012845712725$	$0.95470$	$4.32915$	$[0, -1, 0, -221121, -38976255]$	\(y^2=x^3-x^2-221121x-38976255\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[ ]$
73920.fx1	73920ha4	73920.fx	73920ha	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$168$	$48$	$0$	$0.412078780$	$1$		$13$	$589824$	$1.949478$	$36489314991346568/1012845712725$	$0.95470$	$4.32915$	$[0, 1, 0, -221121, 38976255]$	\(y^2=x^3+x^2-221121x+38976255\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$	$[(327, 1320)]$
110880.i2	110880v3	110880.i	110880v	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$168$	$48$	$0$	$1$	$1$		$1$	$1179648$	$2.152210$	$36489314991346568/1012845712725$	$0.95470$	$4.38747$	$[0, 0, 0, -497523, 131793622]$	\(y^2=x^3-497523x+131793622\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 56.24.0-56.ba.1.6, $\ldots$	$[ ]$
110880.bx2	110880bj3	110880.bx	110880bj	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$168$	$48$	$0$	$1$	$1$		$1$	$1179648$	$2.152210$	$36489314991346568/1012845712725$	$0.95470$	$4.38747$	$[0, 0, 0, -497523, -131793622]$	\(y^2=x^3-497523x-131793622\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 56.24.0-56.ba.1.14, $\ldots$	$[ ]$
184800.cx2	184800gc4	184800.cx	184800gc	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$5.579166779$	$1$		$3$	$3538944$	$2.407623$	$36489314991346568/1012845712725$	$0.95470$	$4.45540$	$[0, -1, 0, -1382008, -609694988]$	\(y^2=x^3-x^2-1382008x-609694988\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, $\ldots$	$[(47637, 10393900)]$
184800.dw2	184800fn2	184800.dw	184800fn	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$3538944$	$2.407623$	$36489314991346568/1012845712725$	$0.95470$	$4.45540$	$[0, 1, 0, -1382008, 609694988]$	\(y^2=x^3+x^2-1382008x+609694988\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, $\ldots$	$[ ]$
221760.iy1	221760bv3	221760.iy	221760bv	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$168$	$48$	$0$	$2.388504954$	$1$		$9$	$4718592$	$2.498787$	$36489314991346568/1012845712725$	$0.95470$	$4.47828$	$[0, 0, 0, -1990092, 1054348976]$	\(y^2=x^3-1990092x+1054348976\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 56.24.0-56.ba.1.13, 168.48.0.?	$[(622, 7560)]$
221760.lg1	221760x4	221760.lg	221760x	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$168$	$48$	$0$	$3.961798322$	$4$	$2$	$3$	$4718592$	$2.498787$	$36489314991346568/1012845712725$	$0.95470$	$4.47828$	$[0, 0, 0, -1990092, -1054348976]$	\(y^2=x^3-1990092x-1054348976\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 56.24.0-56.ba.1.5, 168.48.0.?	$[(-772, 4680)]$
258720.ba2	258720ba2	258720.ba	258720ba	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{8} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$168$	$48$	$0$	$1$	$1$		$3$	$7077888$	$2.575859$	$36489314991346568/1012845712725$	$0.95470$	$4.49710$	$[0, -1, 0, -2708736, 1675170036]$	\(y^2=x^3-x^2-2708736x+1675170036\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 56.24.0-56.ba.1.4, 168.48.0.?	$[ ]$
258720.de2	258720de4	258720.de	258720de	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$168$	$48$	$0$	$23.31201881$	$1$		$5$	$7077888$	$2.575859$	$36489314991346568/1012845712725$	$0.95470$	$4.49710$	$[0, 1, 0, -2708736, -1675170036]$	\(y^2=x^3+x^2-2708736x-1675170036\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 56.24.0-56.ba.1.12, 168.48.0.?	$[(-873, 4998), (3831, 210210)]$
369600.ff1	369600ff3	369600.ff	369600ff	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$4.903909147$	$1$		$5$	$14155776$	$2.754196$	$36489314991346568/1012845712725$	$0.95470$	$4.53891$	$[0, -1, 0, -5528033, 4883087937]$	\(y^2=x^3-x^2-5528033x+4883087937\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 56.12.0.ba.1, $\ldots$	$[(1627, 13900)]$
369600.tb1	369600tb4	369600.tb	369600tb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$14155776$	$2.754196$	$36489314991346568/1012845712725$	$0.95470$	$4.53891$	$[0, 1, 0, -5528033, -4883087937]$	\(y^2=x^3+x^2-5528033x-4883087937\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 56.12.0.ba.1, $\ldots$	$[ ]$
406560.bw2	406560bw4	406560.bw	406560bw	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$7.732678198$	$4$	$2$	$1$	$17694720$	$2.801853$	$36489314991346568/1012845712725$	$0.95470$	$4.54969$	$[0, -1, 0, -6688920, -6494707800]$	\(y^2=x^3-x^2-6688920x-6494707800\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0.ba.1, 88.12.0.?, $\ldots$	$[(-5195/2, 3315/2)]$
406560.fm2	406560fm2	406560.fm	406560fm	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1848$	$48$	$0$	$6.946158296$	$1$		$3$	$17694720$	$2.801853$	$36489314991346568/1012845712725$	$0.95470$	$4.54969$	$[0, 1, 0, -6688920, 6494707800]$	\(y^2=x^3+x^2-6688920x+6494707800\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0.ba.1, 88.12.0.?, $\ldots$	$[(4815, 293160)]$

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