Elliptic curve search results

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
12882.e2	12882e2	12882.e	12882e	$2$	$2$	\( 2 \cdot 3 \cdot 19 \cdot 113 \)	\( - 2^{5} \cdot 3^{26} \cdot 19^{2} \cdot 113^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$17.76458753$	$1$		$0$	$1264640$	$2.635082$	$410363075617640914325831/374944243169850027552$	$[1, 1, 0, 1548157, -563453715]$	\(y^2+xy=x^3+x^2+1548157x-563453715\)
38646.p2	38646be2	38646.p	38646be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 113 \)	\( - 2^{5} \cdot 3^{32} \cdot 19^{2} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1$	$1$		$0$	$10117120$	$3.184387$	$410363075617640914325831/374944243169850027552$	$[1, -1, 1, 13933408, 15227183715]$	\(y^2+xy+y=x^3-x^2+13933408x+15227183715\)
103056.bg2	103056bd2	103056.bg	103056bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 19 \cdot 113 \)	\( - 2^{17} \cdot 3^{26} \cdot 19^{2} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1$	$1$		$1$	$30351360$	$3.328228$	$410363075617640914325831/374944243169850027552$	$[0, 1, 0, 24770504, 36110578772]$	\(y^2=x^3+x^2+24770504x+36110578772\)
244758.y2	244758y2	244758.y	244758y	$2$	$2$	\( 2 \cdot 3 \cdot 19^{2} \cdot 113 \)	\( - 2^{5} \cdot 3^{26} \cdot 19^{8} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1$	$1$		$0$	$455270400$	$4.107300$	$410363075617640914325831/374944243169850027552$	$[1, 0, 0, 558884489, 3869200107593]$	\(y^2+xy=x^3+558884489x+3869200107593\)
309168.d2	309168d2	309168.d	309168d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 113 \)	\( - 2^{17} \cdot 3^{32} \cdot 19^{2} \cdot 113^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$32.14123198$	$1$		$1$	$242810880$	$3.877533$	$410363075617640914325831/374944243169850027552$	$[0, 0, 0, 222934533, -974762692310]$	\(y^2=x^3+222934533x-974762692310\)
322050.bv2	322050bv2	322050.bv	322050bv	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 113 \)	\( - 2^{5} \cdot 3^{26} \cdot 5^{6} \cdot 19^{2} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1$	$1$		$0$	$101171200$	$3.439800$	$410363075617640914325831/374944243169850027552$	$[1, 0, 0, 38703912, -70509122208]$	\(y^2+xy=x^3+38703912x-70509122208\)
412224.b2	412224b2	412224.b	412224b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19 \cdot 113 \)	\( - 2^{23} \cdot 3^{26} \cdot 19^{2} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$1$	$1$		$1$	$242810880$	$3.674801$	$410363075617640914325831/374944243169850027552$	$[0, -1, 0, 99082015, 288785548161]$	\(y^2=x^3-x^2+99082015x+288785548161\)
412224.bs2	412224bs2	412224.bs	412224bs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19 \cdot 113 \)	\( - 2^{23} \cdot 3^{26} \cdot 19^{2} \cdot 113^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$3.543483127$	$1$		$3$	$242810880$	$3.674801$	$410363075617640914325831/374944243169850027552$	$[0, 1, 0, 99082015, -288785548161]$	\(y^2=x^3+x^2+99082015x-288785548161\)