Elliptic curve search results

Results (14 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
43680.a2	43680be2	43680.a	43680be	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$5.440880481$	$1$		$3$	$129024$	$1.284063$	$-388697347592/73364484375$	$0.97075$	$3.62341$	$[0, -1, 0, -1216, -294920]$	\(y^2=x^3-x^2-1216x-294920\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(649, 16488)]$
43680.bt2	43680bz2	43680.bt	43680bz	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.613590555$	$1$		$7$	$129024$	$1.284063$	$-388697347592/73364484375$	$0.97075$	$3.62341$	$[0, 1, 0, -1216, 294920]$	\(y^2=x^3+x^2-1216x+294920\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(-34, 546)]$
87360.cr2	87360fm2	87360.cr	87360fm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.365181516$	$1$		$37$	$516096$	$1.630636$	$-388697347592/73364484375$	$0.97075$	$3.76819$	$[0, -1, 0, -4865, 2364225]$	\(y^2=x^3-x^2-4865x+2364225\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(-95, 1400), (80, 1575)]$
87360.gm2	87360gt2	87360.gm	87360gt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.630636$	$-388697347592/73364484375$	$0.97075$	$3.76819$	$[0, 1, 0, -4865, -2364225]$	\(y^2=x^3+x^2-4865x-2364225\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
131040.di2	131040cq2	131040.di	131040cq	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$1032192$	$1.833368$	$-388697347592/73364484375$	$0.97075$	$3.84499$	$[0, 0, 0, -10947, 7973786]$	\(y^2=x^3-10947x+7973786\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
131040.dm2	131040bx2	131040.dm	131040bx	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.671397412$	$1$		$9$	$1032192$	$1.833368$	$-388697347592/73364484375$	$0.97075$	$3.84499$	$[0, 0, 0, -10947, -7973786]$	\(y^2=x^3-10947x-7973786\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(353, 5670)]$
218400.bf2	218400fr2	218400.bf	218400fr	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$3.698437449$	$1$		$3$	$3096576$	$2.088783$	$-388697347592/73364484375$	$0.97075$	$3.93453$	$[0, -1, 0, -30408, 36925812]$	\(y^2=x^3-x^2-30408x+36925812\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(1977, 87750)]$
218400.el2	218400cy2	218400.el	218400cy	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.562553669$	$1$		$3$	$3096576$	$2.088783$	$-388697347592/73364484375$	$0.97075$	$3.93453$	$[0, 1, 0, -30408, -36925812]$	\(y^2=x^3+x^2-30408x-36925812\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(623, 13650)]$
262080.d2	262080d2	262080.d	262080d	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.473088123$	$1$		$9$	$4128768$	$2.179943$	$-388697347592/73364484375$	$0.97075$	$3.96471$	$[0, 0, 0, -43788, 63790288]$	\(y^2=x^3-43788x+63790288\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(314, 9000)]$
262080.gy2	262080gy2	262080.gy	262080gy	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.179943$	$-388697347592/73364484375$	$0.97075$	$3.96471$	$[0, 0, 0, -43788, -63790288]$	\(y^2=x^3-43788x-63790288\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
305760.dv2	305760dv2	305760.dv	305760dv	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$6193152$	$2.257019$	$-388697347592/73364484375$	$0.97075$	$3.98955$	$[0, -1, 0, -59600, -101276748]$	\(y^2=x^3-x^2-59600x-101276748\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
305760.fz2	305760fz2	305760.fz	305760fz	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.049491345$	$1$		$5$	$6193152$	$2.257019$	$-388697347592/73364484375$	$0.97075$	$3.98955$	$[0, 1, 0, -59600, 101276748]$	\(y^2=x^3+x^2-59600x+101276748\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[(-89, 10290)]$
436800.kh2	436800kh2	436800.kh	436800kh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.435356$	$-388697347592/73364484375$	$0.97075$	$4.04477$	$[0, -1, 0, -121633, -295284863]$	\(y^2=x^3-x^2-121633x-295284863\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$
436800.kq2	436800kq2	436800.kq	436800kq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{4} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.435356$	$-388697347592/73364484375$	$0.97075$	$4.04477$	$[0, 1, 0, -121633, 295284863]$	\(y^2=x^3+x^2-121633x+295284863\)	2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.?	$[]$