Elliptic curve search results

Results (11 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
14586.c2	14586b2	14586.c	14586b	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$136$	$12$	$0$	$1.304397877$	$1$		$6$	$43008$	$1.286453$	$5783051584712375/37533175779528$	$0.94430$	$4.02778$	$[1, 1, 0, 3740, -279752]$	\(y^2+xy=x^3+x^2+3740x-279752\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(67, 493)]$
43758.r2	43758u2	43758.r	43758u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{14} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1.579536779$	$1$		$6$	$344064$	$1.835760$	$5783051584712375/37533175779528$	$0.94430$	$4.23053$	$[1, -1, 1, 33655, 7586961]$	\(y^2+xy+y=x^3-x^2+33655x+7586961\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(-111, 1628)]$
116688.w2	116688x2	116688.w	116688x	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$0.904150952$	$1$		$25$	$1032192$	$1.979601$	$5783051584712375/37533175779528$	$0.94430$	$4.02282$	$[0, 1, 0, 59832, 18023796]$	\(y^2=x^3+x^2+59832x+18023796\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(270, 7344), (-36, 3978)]$
160446.z2	160446v2	160446.z	160446v	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 11^{10} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$1$		$0$	$5160960$	$2.485401$	$5783051584712375/37533175779528$	$0.94430$	$4.42234$	$[1, 1, 1, 452477, 374612393]$	\(y^2+xy+y=x^3+x^2+452477x+374612393\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[]$
189618.bb2	189618p2	189618.bb	189618p	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 13^{8} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$15.11344903$	$1$		$8$	$7225344$	$2.568928$	$5783051584712375/37533175779528$	$0.94430$	$4.44403$	$[1, 1, 1, 631972, -617775163]$	\(y^2+xy+y=x^3+x^2+631972x-617775163\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(1127, 38519), (9219, 883555)]$
247962.q2	247962q2	247962.q	247962q	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$2.421356206$	$1$		$4$	$12386304$	$2.703060$	$5783051584712375/37533175779528$	$0.94430$	$4.47764$	$[1, 0, 1, 1080709, -1381986898]$	\(y^2+xy+y=x^3+1080709x-1381986898\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(2030, 94788)]$
350064.bc2	350064bc2	350064.bc	350064bc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3^{14} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$1$		$1$	$8257536$	$2.528908$	$5783051584712375/37533175779528$	$0.94430$	$4.19298$	$[0, 0, 0, 538485, -486104006]$	\(y^2=x^3+538485x-486104006\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[]$
364650.fl2	364650fl2	364650.fl	364650fl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$0.529255586$	$1$		$8$	$6193152$	$2.091171$	$5783051584712375/37533175779528$	$0.94430$	$3.76945$	$[1, 0, 0, 93487, -35155983]$	\(y^2+xy=x^3+93487x-35155983\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(376, 7105)]$
466752.bf2	466752bf2	466752.bf	466752bf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$0.918273724$	$1$		$9$	$8257536$	$2.326176$	$5783051584712375/37533175779528$	$0.94430$	$3.91420$	$[0, -1, 0, 239327, 143951041]$	\(y^2=x^3-x^2+239327x+143951041\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(-3, 11968)]$
466752.dm2	466752dm2	466752.dm	466752dm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$1$	$1$		$1$	$8257536$	$2.326176$	$5783051584712375/37533175779528$	$0.94430$	$3.91420$	$[0, 1, 0, 239327, -143951041]$	\(y^2=x^3+x^2+239327x-143951041\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[]$
481338.t2	481338t2	481338.t	481338t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{14} \cdot 11^{10} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$136$	$12$	$0$	$3.072010643$	$1$		$0$	$41287680$	$3.034706$	$5783051584712375/37533175779528$	$0.94430$	$4.55481$	$[1, -1, 0, 4072293, -10110462323]$	\(y^2+xy=x^3-x^2+4072293x-10110462323\)	2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.?	$[(22199/2, 3403795/2)]$