Elliptic curve search results

Results (9 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
10578.b1	10578a1	10578.b	10578a	$1$	$1$	\( 2 \cdot 3 \cdot 41 \cdot 43 \)	\( - 2 \cdot 3^{4} \cdot 41^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$14104$	$2$	$0$	$2.936680806$	$1$		$2$	$14400$	$0.973423$	$1197736492998599/807054296166$	$0.93498$	$3.74673$	$1$	$[1, 1, 0, 2213, -15317]$	\(y^2+xy=x^3+x^2+2213x-15317\)	14104.2.0.?	$[(19, 175)]$	$1$
31734.l1	31734m1	31734.l	31734m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 41 \cdot 43 \)	\( - 2 \cdot 3^{10} \cdot 41^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$1$	$1$		$0$	$115200$	$1.522728$	$1197736492998599/807054296166$	$0.93498$	$3.98556$	$1$	$[1, -1, 1, 19912, 433473]$	\(y^2+xy+y=x^3-x^2+19912x+433473\)	14104.2.0.?	$[ ]$	$1$
84624.u1	84624t1	84624.u	84624t	$1$	$1$	\( 2^{4} \cdot 3 \cdot 41 \cdot 43 \)	\( - 2^{13} \cdot 3^{4} \cdot 41^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$1$	$1$		$0$	$345600$	$1.666571$	$1197736492998599/807054296166$	$0.93498$	$3.79315$	$1$	$[0, 1, 0, 35400, 1051092]$	\(y^2=x^3+x^2+35400x+1051092\)	14104.2.0.?	$[ ]$	$1$
253872.l1	253872l1	253872.l	253872l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 41 \cdot 43 \)	\( - 2^{13} \cdot 3^{10} \cdot 41^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$0.785069951$	$1$		$4$	$2764800$	$2.215878$	$1197736492998599/807054296166$	$0.93498$	$3.98797$	$1$	$[0, 0, 0, 318597, -28060886]$	\(y^2=x^3+318597x-28060886\)	14104.2.0.?	$[(2405, 121032)]$	$1$
264450.cb1	264450cb1	264450.cb	264450cb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 41 \cdot 43 \)	\( - 2 \cdot 3^{4} \cdot 5^{6} \cdot 41^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$1$	$9$	$3$	$0$	$2016000$	$1.778141$	$1197736492998599/807054296166$	$0.93498$	$3.55422$	$1$	$[1, 0, 0, 55312, -2025258]$	\(y^2+xy=x^3+55312x-2025258\)	14104.2.0.?	$[ ]$	$1$
338496.m1	338496m1	338496.m	338496m	$1$	$1$	\( 2^{6} \cdot 3 \cdot 41 \cdot 43 \)	\( - 2^{19} \cdot 3^{4} \cdot 41^{5} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$1$	$1$		$0$	$2764800$	$2.013142$	$1197736492998599/807054296166$	$0.93498$	$3.70679$	$1$	$[0, -1, 0, 141599, 8267137]$	\(y^2=x^3-x^2+141599x+8267137\)	14104.2.0.?	$[ ]$	$1$
338496.bv1	338496bv1	338496.bv	338496bv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 41 \cdot 43 \)	\( - 2^{19} \cdot 3^{4} \cdot 41^{5} \cdot 43 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$2.652185231$	$1$		$2$	$2764800$	$2.013142$	$1197736492998599/807054296166$	$0.93498$	$3.70679$	$1$	$[0, 1, 0, 141599, -8267137]$	\(y^2=x^3+x^2+141599x-8267137\)	14104.2.0.?	$[(83, 2016)]$	$1$
433698.h1	433698h1	433698.h	433698h	$1$	$1$	\( 2 \cdot 3 \cdot 41^{2} \cdot 43 \)	\( - 2 \cdot 3^{4} \cdot 41^{11} \cdot 43 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$1$	$1$		$0$	$24192000$	$2.830208$	$1197736492998599/807054296166$	$0.93498$	$4.39139$	$1$	$[1, 0, 1, 3719177, -1118893960]$	\(y^2+xy+y=x^3+3719177x-1118893960\)	14104.2.0.?	$[ ]$	$1$
454854.v1	454854v1	454854.v	454854v	$1$	$1$	\( 2 \cdot 3 \cdot 41 \cdot 43^{2} \)	\( - 2 \cdot 3^{4} \cdot 41^{5} \cdot 43^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14104$	$2$	$0$	$1$	$1$		$0$	$26611200$	$2.854023$	$1197736492998599/807054296166$	$0.93498$	$4.39727$	$1$	$[1, 0, 0, 4090874, 1291450202]$	\(y^2+xy=x^3+4090874x+1291450202\)	14104.2.0.?	$[ ]$	$1$

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