Elliptic curve search results

Results (15 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
4774.h2	4774k1	4774.h	4774k	$2$	$5$	\( 2 \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{10} \cdot 7^{5} \cdot 11 \cdot 31 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$23870$	$48$	$1$	$1.474968292$	$1$		$12$	$4000$	$0.583697$	$-15107691357361/5868735488$	$0.92104$	$3.64302$	$[1, 1, 1, -515, 5601]$	\(y^2+xy+y=x^3+x^2-515x+5601\)	5.24.0-5.a.1.2, 4774.2.0.?, 23870.48.1.?	$[(3, 62)]$
33418.bn2	33418bj1	33418.bn	33418bj	$2$	$5$	\( 2 \cdot 7^{2} \cdot 11 \cdot 31 \)	\( - 2^{10} \cdot 7^{11} \cdot 11 \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$23870$	$48$	$1$	$1$	$1$		$0$	$192000$	$1.556652$	$-15107691357361/5868735488$	$0.92104$	$4.08331$	$[1, 0, 0, -25236, -1996912]$	\(y^2+xy=x^3-25236x-1996912\)	5.12.0.a.1, 35.24.0-5.a.1.2, 3410.24.0.?, 4774.2.0.?, 23870.48.1.?	$[]$
38192.l2	38192i1	38192.l	38192i	$2$	$5$	\( 2^{4} \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{22} \cdot 7^{5} \cdot 11 \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$47740$	$48$	$1$	$1$	$1$		$0$	$96000$	$1.276844$	$-15107691357361/5868735488$	$0.92104$	$3.71338$	$[0, 1, 0, -8240, -374956]$	\(y^2=x^3+x^2-8240x-374956\)	5.12.0.a.1, 20.24.0-5.a.1.2, 4774.2.0.?, 23870.24.1.?, 47740.48.1.?	$[]$
42966.s2	42966r1	42966.s	42966r	$2$	$5$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 11 \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$71610$	$48$	$1$	$1$	$1$		$0$	$120000$	$1.133003$	$-15107691357361/5868735488$	$0.92104$	$3.51058$	$[1, -1, 0, -4635, -155867]$	\(y^2+xy=x^3-x^2-4635x-155867\)	5.12.0.a.1, 15.24.0-5.a.1.1, 4774.2.0.?, 23870.24.1.?, 71610.48.1.?	$[]$
52514.f2	52514h1	52514.f	52514h	$2$	$5$	\( 2 \cdot 7 \cdot 11^{2} \cdot 31 \)	\( - 2^{10} \cdot 7^{5} \cdot 11^{7} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$23870$	$48$	$1$	$1.416886222$	$1$		$4$	$480000$	$1.782644$	$-15107691357361/5868735488$	$0.92104$	$4.16302$	$[1, 1, 0, -62317, -7766755]$	\(y^2+xy=x^3+x^2-62317x-7766755\)	5.12.0.a.1, 55.24.0-5.a.1.1, 2170.24.0.?, 4774.2.0.?, 23870.48.1.?	$[(314, 1779)]$
119350.s2	119350f1	119350.s	119350f	$2$	$5$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{10} \cdot 5^{6} \cdot 7^{5} \cdot 11 \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.2	5B.1.4	$23870$	$48$	$1$	$1.973748516$	$1$		$2$	$320000$	$1.388416$	$-15107691357361/5868735488$	$0.92104$	$3.46596$	$[1, 0, 1, -12876, 725898]$	\(y^2+xy+y=x^3-12876x+725898\)	5.24.0-5.a.1.1, 4774.2.0.?, 23870.48.1.?	$[(177, 1911)]$
147994.ba2	147994i1	147994.ba	147994i	$2$	$5$	\( 2 \cdot 7 \cdot 11 \cdot 31^{2} \)	\( - 2^{10} \cdot 7^{5} \cdot 11 \cdot 31^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$23870$	$48$	$1$	$0.950870122$	$1$		$14$	$3840000$	$2.300690$	$-15107691357361/5868735488$	$0.92104$	$4.32289$	$[1, 0, 0, -494935, -173298839]$	\(y^2+xy=x^3-494935x-173298839\)	5.12.0.a.1, 155.24.0.?, 770.24.0.?, 4774.2.0.?, 23870.48.1.?	$[(1134, 26341), (8470/3, 364007/3)]$
152768.z2	152768n1	152768.z	152768n	$2$	$5$	\( 2^{6} \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{28} \cdot 7^{5} \cdot 11 \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$95480$	$48$	$1$	$17.81256525$	$1$		$0$	$768000$	$1.623419$	$-15107691357361/5868735488$	$0.92104$	$3.63053$	$[0, -1, 0, -32961, -2966687]$	\(y^2=x^3-x^2-32961x-2966687\)	5.12.0.a.1, 40.24.0-5.a.1.1, 4774.2.0.?, 23870.24.1.?, 95480.48.1.?	$[(72706147/571, 158243377100/571)]$
152768.bt2	152768bx1	152768.bt	152768bx	$2$	$5$	\( 2^{6} \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{28} \cdot 7^{5} \cdot 11 \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$95480$	$48$	$1$	$2.683275110$	$1$		$2$	$768000$	$1.623419$	$-15107691357361/5868735488$	$0.92104$	$3.63053$	$[0, 1, 0, -32961, 2966687]$	\(y^2=x^3+x^2-32961x+2966687\)	5.12.0.a.1, 40.24.0-5.a.1.3, 4774.2.0.?, 23870.24.1.?, 95480.48.1.?	$[(-167, 1960)]$
267344.bj2	267344bj1	267344.bj	267344bj	$2$	$5$	\( 2^{4} \cdot 7^{2} \cdot 11 \cdot 31 \)	\( - 2^{22} \cdot 7^{11} \cdot 11 \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$47740$	$48$	$1$	$1$	$1$		$0$	$4608000$	$2.249798$	$-15107691357361/5868735488$	$0.92104$	$4.06945$	$[0, -1, 0, -403776, 127802368]$	\(y^2=x^3-x^2-403776x+127802368\)	5.12.0.a.1, 140.24.0.?, 4774.2.0.?, 6820.24.0.?, 23870.24.1.?, $\ldots$	$[]$
300762.a2	300762a1	300762.a	300762a	$2$	$5$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 31 \)	\( - 2^{10} \cdot 3^{6} \cdot 7^{11} \cdot 11 \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$71610$	$48$	$1$	$1.066021163$	$1$		$4$	$5760000$	$2.105957$	$-15107691357361/5868735488$	$0.92104$	$3.89461$	$[1, -1, 0, -227124, 53916624]$	\(y^2+xy=x^3-x^2-227124x+53916624\)	5.12.0.a.1, 105.24.0.?, 4774.2.0.?, 10230.24.0.?, 23870.24.1.?, $\ldots$	$[(1192, 37820)]$
343728.fj2	343728fj1	343728.fj	343728fj	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 31 \)	\( - 2^{22} \cdot 3^{6} \cdot 7^{5} \cdot 11 \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$143220$	$48$	$1$	$1$	$4$	$2$	$0$	$2880000$	$1.826151$	$-15107691357361/5868735488$	$0.92104$	$3.59042$	$[0, 0, 0, -74163, 10049650]$	\(y^2=x^3-74163x+10049650\)	5.12.0.a.1, 60.24.0-5.a.1.2, 4774.2.0.?, 23870.24.1.?, 143220.48.1.?	$[]$
367598.bq2	367598bq1	367598.bq	367598bq	$2$	$5$	\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 31 \)	\( - 2^{10} \cdot 7^{11} \cdot 11^{7} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$23870$	$48$	$1$	$4.381844068$	$1$		$0$	$23040000$	$2.755600$	$-15107691357361/5868735488$	$0.92104$	$4.44196$	$[1, 0, 1, -3053559, 2654836314]$	\(y^2+xy+y=x^3-3053559x+2654836314\)	5.12.0.a.1, 310.24.0.?, 385.24.0.?, 4774.2.0.?, 23870.48.1.?	$[(53391/5, 9447724/5)]$
420112.bd2	420112bd1	420112.bd	420112bd	$2$	$5$	\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 31 \)	\( - 2^{22} \cdot 7^{5} \cdot 11^{7} \cdot 31 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$47740$	$48$	$1$	$1.694937975$	$1$		$10$	$11520000$	$2.475792$	$-15107691357361/5868735488$	$0.92104$	$4.13684$	$[0, 1, 0, -997080, 495078164]$	\(y^2=x^3+x^2-997080x+495078164\)	5.12.0.a.1, 220.24.0.?, 4340.24.0.?, 4774.2.0.?, 23870.24.1.?, $\ldots$	$[(406, 12544), (700, 11858)]$
472626.gb2	472626gb1	472626.gb	472626gb	$2$	$5$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 31 \)	\( - 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 11^{7} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$71610$	$48$	$1$	$4.325230997$	$1$		$2$	$14400000$	$2.331951$	$-15107691357361/5868735488$	$0.92104$	$3.96744$	$[1, -1, 1, -560858, 209141529]$	\(y^2+xy+y=x^3-x^2-560858x+209141529\)	5.12.0.a.1, 165.24.0.?, 4774.2.0.?, 6510.24.0.?, 23870.24.1.?, $\ldots$	$[(3369, 189495)]$