Elliptic curves over Q\Q of conductor 9025

Results (21 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
9025.a1	9025j2	9025.a	9025j	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{3} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$2.839421448$	$1$		$0$	$18720$	$1.130718$	$2045023375454208$	$1.12587$	$5.04750$	$[0, 0, 1, -94145, -11118444]$	$y^2+y=x^3-94145x-11118444$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.2, 65.28.0.a.2, 130.56.1.?, $\ldots$	$[(-21435/11, -663/11)]$
9025.a2	9025j1	9025.a	9025j	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{3} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$0.218417034$	$1$		$6$	$1440$	$-0.151757$	$2101248$	$1.11940$	$2.77513$	$[0, 0, 1, -95, 356]$	$y^2+y=x^3-95x+356$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.1, 65.28.0.a.1, 130.56.1.?, $\ldots$	$[(5, 2)]$
9025.b1	9025f2	9025.b	9025f	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$1$	$1$		$0$	$1778400$	$3.407658$	$2045023375454208$	$1.12587$	$8.04750$	$[0, 0, 1, -849658625, 9532675710156]$	$y^2+y=x^3-849658625x+9532675710156$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.2, 65.56.0-65.a.2.2, 130.112.1.?, $\ldots$	$[]$
9025.b2	9025f1	9025.b	9025f	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$1$	$1$		$0$	$136800$	$2.125183$	$2101248$	$1.11940$	$5.77513$	$[0, 0, 1, -857375, -305439844]$	$y^2+y=x^3-857375x-305439844$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.1, 65.56.0-65.a.1.2, 130.112.1.?, $\ldots$	$[]$
9025.c1	9025h2	9025.c	9025h	$2$	$2$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$4.288822299$	$1$		$2$	$57600$	$1.950281$	$13312053/361$	$0.88614$	$5.33125$	$[1, -1, 1, -222805, -39463928]$	$y^2+xy+y=x^3-x^2-222805x-39463928$	2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.?	$[(544, 40)]$
9025.c2	9025h1	9025.c	9025h	$2$	$2$	$5^{2} \cdot 19^{2}$	$- 5^{9} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$8.577644598$	$1$		$3$	$28800$	$1.603706$	$27/19$	$1.11940$	$4.67183$	$[1, -1, 1, 2820, -2010178]$	$y^2+xy+y=x^3-x^2+2820x-2010178$	2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(2976/5, -2191/5)]$
9025.d1	9025c3	9025.d	9025c	$3$	$9$	$5^{2} \cdot 19^{2}$	$- 5^{6} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$5130$	$1296$	$43$	$1$	$1$		$0$	$116640$	$2.310379$	$-50357871050752/19$	$1.10495$	$6.46410$	$[0, 1, 1, -6943233, 7039600194]$	$y^2+y=x^3+x^2-6943233x+7039600194$	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 30.8.0-3.a.1.2, 38.2.0.a.1, $\ldots$	$[]$
9025.d2	9025c2	9025.d	9025c	$3$	$9$	$5^{2} \cdot 19^{2}$	$- 5^{6} \cdot 19^{9}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$5130$	$1296$	$43$	$1$	$1$		$0$	$38880$	$1.761072$	$-89915392/6859$	$1.03310$	$5.02445$	$[0, 1, 1, -84233, 9982569]$	$y^2+y=x^3+x^2-84233x+9982569$	3.12.0.a.1, 9.36.0.b.1, 30.24.0-3.a.1.1, 38.2.0.a.1, 90.72.0.?, $\ldots$	$[]$
9025.d3	9025c1	9025.d	9025c	$3$	$9$	$5^{2} \cdot 19^{2}$	$- 5^{6} \cdot 19^{7}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$5130$	$1296$	$43$	$1$	$1$		$0$	$12960$	$1.211765$	$32768/19$	$1.31757$	$4.14158$	$[0, 1, 1, 6017, 9944]$	$y^2+y=x^3+x^2+6017x+9944$	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 30.8.0-3.a.1.1, 38.2.0.a.1, $\ldots$	$[]$
9025.e1	9025d2	9025.e	9025d	$2$	$3$	$5^{2} \cdot 19^{2}$	$5^{15} \cdot 19^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.2	3B	$1710$	$144$	$2$	$1$	$1$		$0$	$18144$	$1.211800$	$7575076864/1953125$	$1.00586$	$4.20451$	$[0, 1, 1, -7283, 175719]$	$y^2+y=x^3+x^2-7283x+175719$	3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$	$[]$
9025.e2	9025d1	9025.e	9025d	$2$	$3$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.2	3B	$1710$	$144$	$2$	$1$	$1$		$0$	$6048$	$0.662493$	$318767104/125$	$1.09713$	$3.85666$	$[0, 1, 1, -2533, -49906]$	$y^2+y=x^3+x^2-2533x-49906$	3.4.0.a.1, 9.12.0.b.1, 10.2.0.a.1, 30.8.0.a.1, 90.24.0.?, $\ldots$	$[]$
9025.f1	9025a2	9025.f	9025a	$2$	$19$	$5^{2} \cdot 19^{2}$	$- 5^{6} \cdot 19^{9}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$13.07039459$	$1$		$0$	$53200$	$1.926790$	$-884736$	$1.31757$	$5.47353$	$[0, 0, 1, -342950, -77378094]$	$y^2+y=x^3-342950x-77378094$		$[(26975364/191, 59664634090/191)]$
9025.f2	9025a1	9025.f	9025a	$2$	$19$	$5^{2} \cdot 19^{2}$	$- 5^{6} \cdot 19^{3}$	$1$	$\mathsf{trivial}$	$\Q(\sqrt{-19})$	$-19$	$N(\mathrm{U}(1))$		✓							$0.687915504$	$1$		$4$	$2800$	$0.454570$	$-884736$	$1.31757$	$3.53380$	$[0, 0, 1, -950, 11281]$	$y^2+y=x^3-950x+11281$		$[(19, 9)]$
9025.g1	9025b2	9025.g	9025b	$2$	$3$	$5^{2} \cdot 19^{2}$	$5^{15} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.2	3B	$1710$	$144$	$2$	$7.871937846$	$1$		$0$	$344736$	$2.684017$	$7575076864/1953125$	$1.00586$	$6.14424$	$[0, -1, 1, -2629283, -1221033782]$	$y^2+y=x^3-x^2-2629283x-1221033782$	3.4.0.a.1, 6.8.0-3.a.1.2, 9.12.0.b.1, 10.2.0.a.1, 15.8.0-3.a.1.1, $\ldots$	$[(-8132/3, 550799/3)]$
9025.g2	9025b1	9025.g	9025b	$2$	$3$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.2	3B	$1710$	$144$	$2$	$2.623979282$	$1$		$0$	$114912$	$2.134712$	$318767104/125$	$1.09713$	$5.79639$	$[0, -1, 1, -914533, 336816593]$	$y^2+y=x^3-x^2-914533x+336816593$	3.4.0.a.1, 6.8.0-3.a.1.1, 9.12.0.b.1, 10.2.0.a.1, 15.8.0-3.a.1.2, $\ldots$	$[(3613/3, 157924/3)]$
9025.h1	9025g2	9025.h	9025g	$2$	$2$	$5^{2} \cdot 19^{2}$	$5^{3} \cdot 19^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$5.103380677$	$1$		$2$	$11520$	$1.145561$	$13312053/361$	$0.88614$	$4.27099$	$[1, -1, 0, -8912, -313929]$	$y^2+xy=x^3-x^2-8912x-313929$	2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.?	$[(314, 5113)]$
9025.h2	9025g1	9025.h	9025g	$2$	$2$	$5^{2} \cdot 19^{2}$	$- 5^{3} \cdot 19^{7}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$10.20676135$	$1$		$1$	$5760$	$0.798987$	$27/19$	$1.11940$	$3.61157$	$[1, -1, 0, 113, -16104]$	$y^2+xy=x^3-x^2+113x-16104$	2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(22312/17, 3099944/17)]$
9025.i1	9025e2	9025.i	9025e	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{3} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$1$	$1$		$0$	$355680$	$2.602936$	$2045023375454208$	$1.12587$	$6.98723$	$[0, 0, 1, -33986345, 76261405681]$	$y^2+y=x^3-33986345x+76261405681$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.2, 65.56.0-65.a.2.1, 130.112.1.?, $\ldots$	$[]$
9025.i2	9025e1	9025.i	9025e	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{3} \cdot 19^{8}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$1$	$1$		$0$	$27360$	$1.320463$	$2101248$	$1.11940$	$4.71487$	$[0, 0, 1, -34295, -2443519]$	$y^2+y=x^3-34295x-2443519$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.1, 65.56.0-65.a.1.1, 130.112.1.?, $\ldots$	$[]$
9025.j1	9025i2	9025.j	9025i	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$36.12045904$	$1$		$0$	$93600$	$1.935436$	$2045023375454208$	$1.12587$	$6.10776$	$[0, 0, 1, -2353625, -1389805469]$	$y^2+y=x^3-2353625x-1389805469$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.2, 65.28.0.a.2, 130.56.1.?, $\ldots$	$[(-30469437852917017775/185471924, -3045254335445093006866887/185471924)]$
9025.j2	9025i1	9025.j	9025i	$2$	$13$	$5^{2} \cdot 19^{2}$	$5^{9} \cdot 19^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$13$	13.14.0.1	13B	$2470$	$336$	$9$	$2.778496849$	$1$		$0$	$7200$	$0.652962$	$2101248$	$1.11940$	$3.83540$	$[0, 0, 1, -2375, 44531]$	$y^2+y=x^3-2375x+44531$	10.2.0.a.1, 13.14.0.a.1, 26.28.0.a.1, 65.28.0.a.1, 130.56.1.?, $\ldots$	$[(425/4, 843/4)]$

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