Elliptic curve search results

Results (9 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
10906.j1	10906k2	10906.j	10906k	$2$	$2$	\( 2 \cdot 7 \cdot 19 \cdot 41 \)	\( 2 \cdot 7^{10} \cdot 19^{4} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$2296$	$12$	$0$	$2.105822037$	$1$		$0$	$126720$	$2.239910$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.81012$	$[1, -1, 1, -1375735, 621196973]$	\(y^2+xy+y=x^3-x^2-1375735x+621196973\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[(2639/2, 2411/2)]$
76342.w1	76342bc2	76342.w	76342bc	$2$	$2$	\( 2 \cdot 7^{2} \cdot 19 \cdot 41 \)	\( 2 \cdot 7^{16} \cdot 19^{4} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$23.82365033$	$1$		$0$	$6082560$	$3.212868$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.84299$	$[1, -1, 1, -67411000, -212935739831]$	\(y^2+xy+y=x^3-x^2-67411000x-212935739831\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[(-29830115419537/78766, 2926140813750423369/78766)]$
87248.m1	87248m2	87248.m	87248m	$2$	$2$	\( 2^{4} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{13} \cdot 7^{10} \cdot 19^{4} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$4.256749283$	$1$		$1$	$3041280$	$2.933060$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.47926$	$[0, 0, 0, -22011755, -39734594534]$	\(y^2=x^3-22011755x-39734594534\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[(-133955/7, 1065672/7)]$
98154.x1	98154be2	98154.x	98154be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 41 \)	\( 2 \cdot 3^{6} \cdot 7^{10} \cdot 19^{4} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$1$	$1$		$0$	$4055040$	$2.789219$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.27294$	$[1, -1, 0, -12381612, -16759936666]$	\(y^2+xy=x^3-x^2-12381612x-16759936666\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[]$
207214.h1	207214u2	207214.h	207214u	$2$	$2$	\( 2 \cdot 7 \cdot 19^{2} \cdot 41 \)	\( 2 \cdot 7^{10} \cdot 19^{10} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$1$	$1$		$0$	$45619200$	$3.712132$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.85579$	$[1, -1, 0, -496640222, -4258306838518]$	\(y^2+xy=x^3-x^2-496640222x-4258306838518\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[]$
272650.m1	272650m2	272650.m	272650m	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 41 \)	\( 2 \cdot 5^{6} \cdot 7^{10} \cdot 19^{4} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$9.178283687$	$1$		$0$	$18247680$	$3.044632$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.08741$	$[1, -1, 0, -34393367, 77615228291]$	\(y^2+xy=x^3-x^2-34393367x+77615228291\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[(1856629/20, 1053514543/20)]$
348992.bh1	348992bh2	348992.bh	348992bh	$2$	$2$	\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{19} \cdot 7^{10} \cdot 19^{4} \cdot 41^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$1$	$1$		$1$	$24330240$	$3.279633$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.20996$	$[0, 0, 0, -88047020, -317876756272]$	\(y^2=x^3-88047020x-317876756272\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[]$
348992.bj1	348992bj2	348992.bj	348992bj	$2$	$2$	\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{19} \cdot 7^{10} \cdot 19^{4} \cdot 41^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$0.498572802$	$1$		$5$	$24330240$	$3.279633$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.20996$	$[0, 0, 0, -88047020, 317876756272]$	\(y^2=x^3-88047020x+317876756272\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[(-842, 625632)]$
447146.bd1	447146bd2	447146.bd	447146bd	$2$	$2$	\( 2 \cdot 7 \cdot 19 \cdot 41^{2} \)	\( 2 \cdot 7^{10} \cdot 19^{4} \cdot 41^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$2296$	$12$	$0$	$25.76039024$	$1$		$0$	$212889600$	$4.096695$	$287957089300660817234625/123763480181611298$	$0.99424$	$5.86432$	$[1, -1, 1, -2312610010, 42790390494343]$	\(y^2+xy+y=x^3-x^2-2312610010x+42790390494343\)	2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.?	$[(424108850914919/76426, 7149578849939106135339/76426)]$