Elliptic curve search results

Results (8 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
12882.e1	12882e1	12882.e	12882e	$2$	$2$	\( 2 \cdot 3 \cdot 19 \cdot 113 \)	\( 2^{10} \cdot 3^{13} \cdot 19 \cdot 113^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$456$	$12$	$0$	$8.882293768$	$1$		$1$	$632320$	$2.288509$	$13403946614821979039929/5057590268826067968$	$0.99136$	$5.38378$	$[1, 1, 0, -494883, -79253235]$	\(y^2+xy=x^3+x^2-494883x-79253235\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-193505/18, -9514385/18)]$
38646.p1	38646be1	38646.p	38646be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 113 \)	\( 2^{10} \cdot 3^{19} \cdot 19 \cdot 113^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$5058560$	$2.837814$	$13403946614821979039929/5057590268826067968$	$0.99136$	$5.44787$	$[1, -1, 1, -4453952, 2135383395]$	\(y^2+xy+y=x^3-x^2-4453952x+2135383395\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
103056.bg1	103056bd1	103056.bg	103056bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 19 \cdot 113 \)	\( 2^{22} \cdot 3^{13} \cdot 19 \cdot 113^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$15175680$	$2.981655$	$13403946614821979039929/5057590268826067968$	$0.99136$	$5.13449$	$[0, 1, 0, -7918136, 5056370772]$	\(y^2=x^3+x^2-7918136x+5056370772\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
244758.y1	244758y1	244758.y	244758y	$2$	$2$	\( 2 \cdot 3 \cdot 19^{2} \cdot 113 \)	\( 2^{10} \cdot 3^{13} \cdot 19^{7} \cdot 113^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$227635200$	$3.760727$	$13403946614821979039929/5057590268826067968$	$0.99136$	$5.53001$	$[1, 0, 0, -178652951, 542168715753]$	\(y^2+xy=x^3-178652951x+542168715753\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
309168.d1	309168d1	309168.d	309168d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 113 \)	\( 2^{22} \cdot 3^{19} \cdot 19 \cdot 113^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$16.07061599$	$1$		$1$	$121405440$	$3.530960$	$13403946614821979039929/5057590268826067968$	$0.99136$	$5.20971$	$[0, 0, 0, -71263227, -136593274070]$	\(y^2=x^3-71263227x-136593274070\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-302031007/362, 5889034721241/362)]$
322050.bv1	322050bv1	322050.bv	322050bv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 113 \)	\( 2^{10} \cdot 3^{13} \cdot 5^{6} \cdot 19 \cdot 113^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$50585600$	$3.093227$	$13403946614821979039929/5057590268826067968$	$0.99136$	$4.77876$	$[1, 0, 0, -12372088, -9881910208]$	\(y^2+xy=x^3-12372088x-9881910208\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
412224.b1	412224b1	412224.b	412224b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19 \cdot 113 \)	\( 2^{28} \cdot 3^{13} \cdot 19 \cdot 113^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$121405440$	$3.328228$	$13403946614821979039929/5057590268826067968$	$0.99136$	$4.90563$	$[0, -1, 0, -31672545, 40482638721]$	\(y^2=x^3-x^2-31672545x+40482638721\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[]$
412224.bs1	412224bs1	412224.bs	412224bs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19 \cdot 113 \)	\( 2^{28} \cdot 3^{13} \cdot 19 \cdot 113^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1.771741563$	$1$		$3$	$121405440$	$3.328228$	$13403946614821979039929/5057590268826067968$	$0.99136$	$4.90563$	$[0, 1, 0, -31672545, -40482638721]$	\(y^2=x^3+x^2-31672545x-40482638721\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-4182, 137295)]$