Elliptic curve search results

Results (11 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
13260.e1	13260a1	13260.e	13260a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$46080$	$1.498951$	$2064139491706322944/1374181453125$	$0.98408$	$4.73466$	$[0, -1, 0, -66841, -6625334]$	\(y^2=x^3-x^2-66841x-6625334\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$
39780.v1	39780w1	39780.v	39780w	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$0.709711476$	$1$		$5$	$368640$	$2.048256$	$2064139491706322944/1374181453125$	$0.98408$	$4.86592$	$[0, 0, 0, -601572, 179485589]$	\(y^2=x^3-601572x+179485589\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[(643, 7650)]$
53040.bq1	53040cf1	53040.bq	53040cf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.114040445$	$1$		$3$	$184320$	$1.498951$	$2064139491706322944/1374181453125$	$0.98408$	$4.13132$	$[0, 1, 0, -66841, 6625334]$	\(y^2=x^3+x^2-66841x+6625334\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[(3614, 216750)]$
66300.bc1	66300bf1	66300.bc	66300bf	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$7.165632266$	$1$		$3$	$1105920$	$2.303669$	$2064139491706322944/1374181453125$	$0.98408$	$4.91810$	$[0, 1, 0, -1671033, -831508812]$	\(y^2=x^3+x^2-1671033x-831508812\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[(23952, 3701478)]$
159120.dh1	159120l1	159120.dh	159120l	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1.856763865$	$1$		$3$	$1474560$	$2.048256$	$2064139491706322944/1374181453125$	$0.98408$	$4.30272$	$[0, 0, 0, -601572, -179485589]$	\(y^2=x^3-601572x-179485589\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 136.12.0.?, $\ldots$	$[(1397, 41310)]$
172380.j1	172380s1	172380.j	172380s	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13^{7} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$5.161078373$	$1$		$3$	$7741440$	$2.781425$	$2064139491706322944/1374181453125$	$0.98408$	$5.00384$	$[0, -1, 0, -11296185, -14601043458]$	\(y^2=x^3-x^2-11296185x-14601043458\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[(-1966, 2120)]$
198900.n1	198900be1	198900.n	198900be	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$8847360$	$2.852974$	$2064139491706322944/1374181453125$	$0.98408$	$5.01552$	$[0, 0, 0, -15039300, 22435698625]$	\(y^2=x^3-15039300x+22435698625\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$
212160.cq1	212160cm1	212160.cq	212160cm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.170186622$	$1$		$17$	$1474560$	$1.845524$	$2064139491706322944/1374181453125$	$0.98408$	$4.00345$	$[0, -1, 0, -267365, 53270037]$	\(y^2=x^3-x^2-267365x+53270037\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[(4, 7225), (229, 2000)]$
212160.hb1	212160es1	212160.hb	212160es	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$1474560$	$1.845524$	$2064139491706322944/1374181453125$	$0.98408$	$4.00345$	$[0, 1, 0, -267365, -53270037]$	\(y^2=x^3+x^2-267365x-53270037\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$
225420.bi1	225420b1	225420.bi	225420b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{10} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1560$	$48$	$0$	$3.233056811$	$1$		$15$	$13271040$	$2.915558$	$2064139491706322944/1374181453125$	$0.98408$	$5.02552$	$[0, 1, 0, -19317145, -32666168632]$	\(y^2=x^3+x^2-19317145x-32666168632\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(-2539, 4335), (-2569, 3375)]$
265200.cp1	265200cp1	265200.cp	265200cp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$4423680$	$2.303669$	$2064139491706322944/1374181453125$	$0.98408$	$4.37215$	$[0, -1, 0, -1671033, 831508812]$	\(y^2=x^3-x^2-1671033x+831508812\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 260.24.0.?, $\ldots$	$[ ]$

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