Elliptic curve search results

Results (5 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
51870.bj1	51870bi1	51870.bj	51870bi	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{18} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.089474$	$6176938755473641/3093410611200$	$0.90551$	$3.34911$	$[1, 0, 1, -3823, -33694]$	\(y^2+xy+y=x^3-3823x-33694\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[]$
155610.dc1	155610br1	155610.dc	155610br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{18} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$0.294017824$	$1$		$43$	$1032192$	$1.638779$	$6176938755473641/3093410611200$	$0.90551$	$3.59271$	$[1, -1, 1, -34403, 909731]$	\(y^2+xy+y=x^3-x^2-34403x+909731\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[(-57, 1666), (195, 1162)]$
259350.fi1	259350fi1	259350.fi	259350fi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{18} \cdot 3 \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1.177202945$	$1$		$7$	$3096576$	$1.894192$	$6176938755473641/3093410611200$	$0.90551$	$3.69136$	$[1, 1, 1, -95563, -4211719]$	\(y^2+xy+y=x^3+x^2-95563x-4211719\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[(355, 2422)]$
363090.r1	363090r1	363090.r	363090r	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{18} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$2.271141146$	$1$		$3$	$6193152$	$2.062428$	$6176938755473641/3093410611200$	$0.90551$	$3.75203$	$[1, 1, 0, -187303, 11369653]$	\(y^2+xy=x^3+x^2-187303x+11369653\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[(503, 6437)]$
414960.dm1	414960dm1	414960.dm	414960dm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{30} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3192$	$12$	$0$	$1$	$1$		$1$	$3096576$	$1.782619$	$6176938755473641/3093410611200$	$0.90551$	$3.45374$	$[0, -1, 0, -61160, 2156400]$	\(y^2=x^3-x^2-61160x+2156400\)	2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?	$[]$