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
33813.b1	33813d2	33813.b	33813d	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{9} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$6.189372712$	$1$		$2$	$417792$	$2.188297$	$14348907/169$	$1.22690$	$4.97340$	$[1, -1, 1, -671546, -209482874]$	\(y^2+xy+y=x^3-x^2-671546x-209482874\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(1286, 31798)]$
33813.d1	33813c2	33813.d	33813c	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{9} \cdot 13^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$3.142582856$	$1$		$2$	$24576$	$0.771689$	$14348907/169$	$1.22690$	$3.34334$	$[1, -1, 1, -2324, -42092]$	\(y^2+xy+y=x^3-x^2-2324x-42092\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(56, 4)]$
33813.g1	33813b2	33813.g	33813b	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{3} \cdot 13^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$0.923456838$	$1$		$4$	$8192$	$0.222383$	$14348907/169$	$1.22690$	$2.71126$	$[1, -1, 0, -258, 1645]$	\(y^2+xy=x^3-x^2-258x+1645\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(12, 7)]$
33813.n1	33813a2	33813.n	33813a	$2$	$2$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{3} \cdot 13^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$7.926236563$	$1$		$2$	$139264$	$1.638990$	$14348907/169$	$1.22690$	$4.34132$	$[1, -1, 0, -74616, 7783497]$	\(y^2+xy=x^3-x^2-74616x+7783497\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(9976, 991007)]$
439569.n1	439569n2	439569.n	439569n	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{3} \cdot 13^{8} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$3.634765779$	$1$		$4$	$23396352$	$2.921463$	$14348907/169$	$1.22690$	$4.66875$	$[1, -1, 1, -12610136, 17062512536]$	\(y^2+xy+y=x^3-x^2-12610136x+17062512536\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(2428, 26248)]$
439569.bb1	439569bb2	439569.bb	439569bb	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{3} \cdot 13^{8} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$3.305058392$	$1$		$2$	$1376256$	$1.504858$	$14348907/169$	$1.22690$	$3.36046$	$[1, -1, 1, -43634, 3483198]$	\(y^2+xy+y=x^3-x^2-43634x+3483198\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(-4, 1914)]$
439569.bv1	439569bv2	439569.bv	439569bv	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 13^{8} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$5.699182794$	$1$		$0$	$4128768$	$2.054165$	$14348907/169$	$1.22690$	$3.86777$	$[1, -1, 0, -392703, -93653650]$	\(y^2+xy=x^3-x^2-392703x-93653650\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(10750/3, 895630/3)]$
439569.ce1	439569ce2	439569.ce	439569ce	$2$	$2$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 13^{8} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$73.66928826$	$1$		$0$	$70189056$	$3.470772$	$14348907/169$	$1.22690$	$5.17605$	$[1, -1, 0, -113491221, -460574347258]$	\(y^2+xy=x^3-x^2-113491221x-460574347258\)	2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.?	$[(4607960347595723110903399819731626/52162371824273, 312670921009242423884629579365455112561309408222036/52162371824273)]$