Elliptic curves over $\Q$ of conductor 7502

Results (8 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
7502.a1	7502c3	7502.a	7502c	$3$	$9$	\( 2 \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 11^{15} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$24552$	$144$	$3$	$3.738740040$	$1$		$2$	$77760$	$2.068657$	$-888751018248625/146192756842$	$0.95164$	$5.49802$	$[1, 0, 1, -242366, 52024674]$	\(y^2+xy+y=x^3-242366x+52024674\)	3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.1, 99.24.0.?, 279.36.0.?, $\ldots$	$[(406, 4334)]$
7502.a2	7502c1	7502.a	7502c	$3$	$9$	\( 2 \cdot 11^{2} \cdot 31 \)	\( - 2^{9} \cdot 11^{7} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$24552$	$144$	$3$	$3.738740040$	$1$		$0$	$8640$	$0.970045$	$-3981876625/174592$	$0.85035$	$4.09792$	$[1, 0, 1, -3996, -101158]$	\(y^2+xy+y=x^3-3996x-101158\)	3.4.0.a.1, 9.12.0.a.1, 33.8.0-3.a.1.2, 99.24.0.?, 279.36.0.?, $\ldots$	$[(315/2, 1859/2)]$
7502.a3	7502c2	7502.a	7502c	$3$	$9$	\( 2 \cdot 11^{2} \cdot 31 \)	\( - 2^{3} \cdot 11^{9} \cdot 31^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$24552$	$144$	$3$	$1.246246680$	$1$		$2$	$25920$	$1.519352$	$514885403375/317214568$	$0.94093$	$4.63464$	$[1, 0, 1, 20204, -279270]$	\(y^2+xy+y=x^3+20204x-279270\)	3.12.0.a.1, 33.24.0-3.a.1.1, 279.36.0.?, 744.24.0.?, 2232.72.0.?, $\ldots$	$[(296, 5478)]$
7502.b1	7502a3	7502.b	7502a	$4$	$4$	\( 2 \cdot 11^{2} \cdot 31 \)	\( 2 \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$2728$	$48$	$0$	$1$	$4$	$2$	$0$	$11520$	$1.090870$	$3999236143617/62$	$1.07559$	$4.86438$	$[1, -1, 0, -40013, -3070721]$	\(y^2+xy=x^3-x^2-40013x-3070721\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 88.24.0.?, 248.24.0.?, $\ldots$	$[]$
7502.b2	7502a4	7502.b	7502a	$4$	$4$	\( 2 \cdot 11^{2} \cdot 31 \)	\( 2 \cdot 11^{6} \cdot 31^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$2728$	$48$	$0$	$1$	$1$		$0$	$11520$	$1.090870$	$3196010817/1847042$	$1.17908$	$4.06510$	$[1, -1, 0, -3713, 4131]$	\(y^2+xy=x^3-x^2-3713x+4131\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$	$[]$
7502.b3	7502a2	7502.b	7502a	$4$	$4$	\( 2 \cdot 11^{2} \cdot 31 \)	\( 2^{2} \cdot 11^{6} \cdot 31^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$2728$	$48$	$0$	$1$	$1$		$2$	$5760$	$0.744296$	$979146657/3844$	$1.02504$	$3.93252$	$[1, -1, 0, -2503, -47415]$	\(y^2+xy=x^3-x^2-2503x-47415\)	2.6.0.a.1, 8.12.0.a.1, 44.12.0-2.a.1.1, 88.24.0.?, 124.12.0.?, $\ldots$	$[]$
7502.b4	7502a1	7502.b	7502a	$4$	$4$	\( 2 \cdot 11^{2} \cdot 31 \)	\( - 2^{4} \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$2728$	$48$	$0$	$1$	$1$		$1$	$2880$	$0.397723$	$-35937/496$	$0.93090$	$3.14804$	$[1, -1, 0, -83, -1435]$	\(y^2+xy=x^3-x^2-83x-1435\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.2, 62.6.0.b.1, $\ldots$	$[]$
7502.c1	7502b1	7502.c	7502b	$1$	$1$	\( 2 \cdot 11^{2} \cdot 31 \)	\( - 2^{19} \cdot 11^{9} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2728$	$2$	$0$	$1$	$1$		$0$	$54720$	$1.864645$	$5130275528223/21632647168$	$1.01888$	$5.09832$	$[1, -1, 0, 43477, 8737669]$	\(y^2+xy=x^3-x^2+43477x+8737669\)	2728.2.0.?	$[]$