Elliptic curves over Q\Q of conductor 249690

Results (1-50 of 139 matches)

  Download displayed columns for results to

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
249690.a1	249690a4	249690.a	249690a	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{7} \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 29^{4} \cdot 41$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$332920$	$48$	$0$	$1$	$4$	$2$	$0$	$4128768$	$2.059505$	$221425019855233682960809/401042585784960$	$0.93938$	$4.32527$	$[1, 1, 0, -1260378, -545151852]$	$y^2+xy=x^3+x^2-1260378x-545151852$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 820.12.0.?, 1624.24.0.?, $\ldots$	$[]$
249690.a2	249690a3	249690.a	249690a	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{7} \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 29 \cdot 41^{4}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$332920$	$48$	$0$	$1$	$1$		$0$	$4128768$	$2.059505$	$1016872716540108530089/301086643037040000$	$0.92348$	$3.89211$	$[1, 1, 0, -209498, 25704852]$	$y^2+xy=x^3+x^2-209498x+25704852$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 812.12.0.?, 1624.24.0.?, $\ldots$	$[]$
249690.a3	249690a2	249690.a	249690a	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 29^{2} \cdot 41^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$332920$	$48$	$0$	$1$	$1$		$2$	$2064384$	$1.712931$	$55732856078304733609/2298289622630400$	$0.90427$	$3.65845$	$[1, 1, 0, -79578, -8360172]$	$y^2+xy=x^3+x^2-79578x-8360172$	2.6.0.a.1, 8.12.0-2.a.1.1, 812.12.0.?, 820.12.0.?, 1624.24.0.?, $\ldots$	$[]$
249690.a4	249690a1	249690.a	249690a	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{28} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$332920$	$48$	$0$	$1$	$4$	$2$	$1$	$1032192$	$1.366358$	$1419693539792471/100538473512960$	$0.90421$	$3.19345$	$[1, 1, 0, 2342, -479468]$	$y^2+xy=x^3+x^2+2342x-479468$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 812.12.0.?, 820.12.0.?, $\ldots$	$[]$
249690.b1	249690b1	249690.b	249690b	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{13} \cdot 3^{5} \cdot 5 \cdot 7^{7} \cdot 29 \cdot 41$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$998760$	$2$	$0$	$1$	$1$		$0$	$2154880$	$1.828156$	$203315001724620866809/9746178390466560$	$0.91059$	$3.76258$	$[1, 1, 0, -122503, 15753973]$	$y^2+xy=x^3+x^2-122503x+15753973$	998760.2.0.?	$[]$
249690.c1	249690c1	249690.c	249690c	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{3} \cdot 3^{5} \cdot 5^{2} \cdot 7^{19} \cdot 29 \cdot 41$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$199752$	$2$	$0$	$1$	$9$	$3$	$0$	$45672960$	$3.259789$	$1125432555520862763004492871/658689717844861217512200$	$1.00328$	$5.01192$	$[1, 1, 0, 21670317, 4147190037]$	$y^2+xy=x^3+x^2+21670317x+4147190037$	199752.2.0.?	$[]$
249690.d1	249690d1	249690.d	249690d	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{16} \cdot 3^{2} \cdot 5^{7} \cdot 7^{7} \cdot 29 \cdot 41$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$166460$	$2$	$0$	$1$	$1$		$0$	$60512256$	$3.525383$	$71260323489717570707521366329049/45121196252160000000$	$0.99723$	$5.90152$	$[1, 1, 0, -863723413, 9769990800493]$	$y^2+xy=x^3+x^2-863723413x+9769990800493$	166460.2.0.?	$[]$
249690.e1	249690e3	249690.e	249690e	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{5} \cdot 3^{3} \cdot 5^{4} \cdot 7^{12} \cdot 29^{2} \cdot 41$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$34440$	$48$	$0$	$1$	$4$	$2$	$0$	$50872320$	$3.241295$	$444122772839939642243879698489/257721168947947740000$	$0.98485$	$5.49292$	$[1, 1, 0, -158949723, 771259043133]$	$y^2+xy=x^3+x^2-158949723x+771259043133$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 328.12.0.?, $\ldots$	$[]$
249690.e2	249690e2	249690.e	249690e	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 29^{4} \cdot 41^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$34440$	$48$	$0$	$1$	$1$		$2$	$25436160$	$2.894722$	$110320283326552157190718009/2610450357688030233600$	$0.96132$	$4.82504$	$[1, 1, 0, -9991803, 11901358557]$	$y^2+xy=x^3+x^2-9991803x+11901358557$	2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 328.12.0.?, 420.24.0.?, $\ldots$	$[]$
249690.e3	249690e1	249690.e	249690e	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{20} \cdot 3^{3} \cdot 5 \cdot 7^{3} \cdot 29^{2} \cdot 41^{4}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$34440$	$48$	$0$	$1$	$4$	$2$	$1$	$12718080$	$2.548149$	$293867527411221067612729/115387622355165511680$	$0.94983$	$4.34805$	$[1, 1, 0, -1385083, -356332067]$	$y^2+xy=x^3+x^2-1385083x-356332067$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 210.6.0.?, $\ldots$	$[]$
249690.e4	249690e4	249690.e	249690e	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{5} \cdot 3^{12} \cdot 5 \cdot 7^{3} \cdot 29^{8} \cdot 41$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$34440$	$48$	$0$	$1$	$4$	$2$	$0$	$50872320$	$3.241295$	$220487132637934750235591/598187039504731334794080$	$1.01232$	$5.00505$	$[1, 1, 0, 1258597, 37208008317]$	$y^2+xy=x^3+x^2+1258597x+37208008317$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 328.12.0.?, $\ldots$	$[]$
249690.f1	249690f3	249690.f	249690f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 29 \cdot 41^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$4872$	$48$	$0$	$1$	$1$		$0$	$6619136$	$2.316174$	$22023222535845979528249/6564806277121830150$	$0.93644$	$4.13956$	$[1, 1, 0, -583963, -119850257]$	$y^2+xy=x^3+x^2-583963x-119850257$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 812.12.0.?, $\ldots$	$[]$
249690.f2	249690f2	249690.f	249690f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 29^{2} \cdot 41^{4}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$4872$	$48$	$0$	$1$	$1$		$2$	$3309568$	$1.969599$	$16765911613813068220249/2620052663602500$	$0.92920$	$4.11762$	$[1, 1, 0, -533213, -150066807]$	$y^2+xy=x^3+x^2-533213x-150066807$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 812.12.0.?, $\ldots$	$[]$
249690.f3	249690f1	249690.f	249690f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 \cdot 41^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$4872$	$48$	$0$	$1$	$4$	$2$	$1$	$1654784$	$1.623024$	$16764025095699365996569/409491600$	$0.92920$	$4.11761$	$[1, 1, 0, -533193, -150078603]$	$y^2+xy=x^3+x^2-533193x-150078603$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
249690.f4	249690f4	249690.f	249690f	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2 \cdot 3 \cdot 5^{8} \cdot 7^{4} \cdot 29^{4} \cdot 41^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$4872$	$48$	$0$	$1$	$4$	$2$	$0$	$6619136$	$2.316174$	$-12444602381446785105529/6690570482252343750$	$0.93436$	$4.14650$	$[1, 1, 0, -482783, -179528013]$	$y^2+xy=x^3+x^2-482783x-179528013$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
249690.g1	249690g1	249690.g	249690g	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{12} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 29 \cdot 41$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$499380$	$12$	$0$	$7.038267882$	$1$		$7$	$147456$	$0.508298$	$7820164617049/2556825600$	$0.80779$	$2.38878$	$[1, 1, 0, -413, -2307]$	$y^2+xy=x^3+x^2-413x-2307$	2.3.0.a.1, 20.6.0.b.1, 49938.6.0.?, 499380.12.0.?	$[(-11, 38), (-69/2, 9/2)]$
249690.g2	249690g2	249690.g	249690g	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 29^{2} \cdot 41^{2}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$499380$	$12$	$0$	$1.759566970$	$1$		$18$	$294912$	$0.854871$	$184715807453351/199504307520$	$0.84251$	$2.64322$	$[1, 1, 0, 1187, -14147]$	$y^2+xy=x^3+x^2+1187x-14147$	2.3.0.a.1, 20.6.0.a.1, 99876.6.0.?, 499380.12.0.?	$[(18, 107), (58, 475)]$
249690.h1	249690h1	249690.h	249690h	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{15} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 29 \cdot 41^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$998760$	$2$	$0$	$0.632914585$	$1$		$4$	$3104640$	$2.007935$	$1206684612015266606041/107450595840000000$	$0.91942$	$3.90588$	$[1, 1, 0, -221797, 36890509]$	$y^2+xy=x^3+x^2-221797x+36890509$	998760.2.0.?	$[(153, 2486)]$
249690.i1	249690i1	249690.i	249690i	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 29 \cdot 41^{3}$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$16646$	$2$	$0$	$0.446298006$	$1$		$18$	$1963008$	$1.796505$	$18472581616560591239/15936581292187500$	$0.91275$	$3.56959$	$[1, 1, 0, 55073, -3461951]$	$y^2+xy=x^3+x^2+55073x-3461951$	16646.2.0.?	$[(268, 5401), (133, 2431)]$
249690.j1	249690j1	249690.j	249690j	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$499380$	$2$	$0$	$1$	$1$		$0$	$255744$	$0.622291$	$-47045881/13431324480$	$1.00050$	$2.47631$	$[1, 1, 0, -7, -5579]$	$y^2+xy=x^3+x^2-7x-5579$	499380.2.0.?	$[]$
249690.k1	249690k4	249690.k	249690k	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2 \cdot 3^{4} \cdot 5 \cdot 7^{12} \cdot 29 \cdot 41$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$998760$	$48$	$0$	$5.987699697$	$1$		$6$	$2285568$	$1.811165$	$69056291258730687241/13330405290411090$	$0.90831$	$3.67570$	$[1, 1, 0, -85472, -7887354]$	$y^2+xy=x^3+x^2-85472x-7887354$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 168.12.0.?, 840.24.0.?, $\ldots$	$[(-115, 719), (-219, 732)]$
249690.k2	249690k2	249690.k	249690k	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 29^{2} \cdot 41^{2}$	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$998760$	$48$	$0$	$1.496924924$	$1$		$28$	$1142784$	$1.464592$	$1948820353827598441/149690575736100$	$0.88751$	$3.38863$	$[1, 1, 0, -26022, 1493856]$	$y^2+xy=x^3+x^2-26022x+1493856$	2.6.0.a.1, 40.12.0-2.a.1.1, 84.12.0.?, 840.24.0.?, 4756.12.0.?, $\ldots$	$[(30, 846), (71, 67)]$
249690.k3	249690k1	249690.k	249690k	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{3} \cdot 29 \cdot 41$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$998760$	$48$	$0$	$1.496924924$	$1$		$15$	$571392$	$1.118017$	$1838630300987206441/12234810000$	$0.93646$	$3.38394$	$[1, 1, 0, -25522, 1558756]$	$y^2+xy=x^3+x^2-25522x+1558756$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 84.12.0.?, 840.24.0.?, $\ldots$	$[(96, 22), (12, 1114)]$
249690.k4	249690k3	249690.k	249690k	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2 \cdot 3 \cdot 5 \cdot 7^{3} \cdot 29^{4} \cdot 41^{4}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$998760$	$48$	$0$	$5.987699697$	$1$		$8$	$2285568$	$1.811165$	$1818166424801058359/20565666707503890$	$0.92012$	$3.61802$	$[1, 1, 0, 25428, 6731466]$	$y^2+xy=x^3+x^2+25428x+6731466$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 84.12.0.?, 840.24.0.?, $\ldots$	$[(65, 2911), (10361, 1049647)]$
249690.l1	249690l3	249690.l	249690l	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{11} \cdot 3^{6} \cdot 5^{12} \cdot 7^{7} \cdot 29 \cdot 41^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$332920$	$48$	$0$	$34.48970771$	$1$		$0$	$22736609280$	$6.366623$	$760580480569520104670516906470154122318801081609/24598987824072721500000000000$	$1.05702$	$8.87115$	$[1, 0, 1, -190169334995329, 1009389629523115878452]$	$y^2+xy+y=x^3-190169334995329x+1009389629523115878452$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 812.12.0.?, 1624.24.0.?, $\ldots$	$[(7400788807394654056/962795, 92630492274380585137730836/962795)]$
249690.l2	249690l4	249690.l	249690l	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{28} \cdot 29^{4} \cdot 41$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$332920$	$48$	$0$	$34.48970771$	$4$	$2$	$0$	$22736609280$	$6.366623$	$187487507688066989804092533175041919874110729/2489364330431622094153544807155970304000$	$1.04698$	$8.20265$	$[1, 0, 1, -11923841870209, 15665066209482655796]$	$y^2+xy+y=x^3-11923841870209x+15665066209482655796$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 820.12.0.?, 1624.24.0.?, $\ldots$	$[(92007919745622514/196415, 6737756655184745922300958/196415)]$
249690.l3	249690l2	249690.l	249690l	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{22} \cdot 3^{12} \cdot 5^{6} \cdot 7^{14} \cdot 29^{2} \cdot 41^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$332920$	$48$	$0$	$17.24485385$	$1$		$2$	$11368304640$	$6.020050$	$185688617932879953951527097253506757895230729/33394216365983441981072277504000000$	$1.04684$	$8.20187$	$[1, 0, 1, -11885583950209, 15771710788912543796]$	$y^2+xy+y=x^3-11885583950209x+15771710788912543796$	2.6.0.a.1, 8.12.0-2.a.1.1, 812.12.0.?, 820.12.0.?, 1624.24.0.?, $\ldots$	$[(53445593602/163, 219600709177001/163)]$
249690.l4	249690l1	249690.l	249690l	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{44} \cdot 3^{24} \cdot 5^{3} \cdot 7^{7} \cdot 29 \cdot 41$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$332920$	$48$	$0$	$34.48970771$	$1$		$1$	$5684152320$	$5.673477$	$-44897864727797608387556299364804503901449/608146301963327218552907470209024000$	$1.03521$	$7.53368$	$[1, 0, 1, -740458389889, 248097826814556212]$	$y^2+xy+y=x^3-740458389889x+248097826814556212$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 812.12.0.?, 820.12.0.?, $\ldots$	$[(7040223023612956/130237, 244198288729019744481080/130237)]$
249690.m1	249690m1	249690.m	249690m	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{20} \cdot 3^{4} \cdot 5^{3} \cdot 7^{7} \cdot 29 \cdot 41$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$166460$	$2$	$0$	$6.750132838$	$1$		$10$	$10859520$	$2.674057$	$87142413780022329687095929/10395923616497664000$	$0.96024$	$4.80606$	$[1, 0, 1, -9236384, 10802526446]$	$y^2+xy+y=x^3-9236384x+10802526446$	166460.2.0.?	$[(1689, 3763), (4761, 271027)]$
249690.n1	249690n1	249690.n	249690n	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{5} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 29 \cdot 41$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$998760$	$2$	$0$	$3.702664678$	$1$		$2$	$1296000$	$1.469797$	$2940980566145956489/126405562500000$	$0.88915$	$3.42174$	$[1, 0, 1, -29849, -1912228]$	$y^2+xy+y=x^3-29849x-1912228$	998760.2.0.?	$[(-102, 322)]$
249690.o1	249690o1	249690.o	249690o	$2$	$3$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 7^{3} \cdot 29 \cdot 41^{3}$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$199752$	$16$	$0$	$1$	$1$		$2$	$468052992$	$4.475723$	$-102650944005605391710169192658164097129/4318023075750720000$	$1.02530$	$7.04253$	$[1, 0, 1, -97546811559, 11726473602941482]$	$y^2+xy+y=x^3-97546811559x+11726473602941482$	3.8.0-3.a.1.2, 199752.16.0.?	$[]$
249690.o2	249690o2	249690.o	249690o	$2$	$3$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{27} \cdot 3^{3} \cdot 5^{12} \cdot 7^{9} \cdot 29^{3} \cdot 41$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$199752$	$16$	$0$	$1$	$1$		$0$	$1404158976$	$5.025032$	$-102625242109020254519549923408956732889/35700468026021019648000000000000$	$1.02530$	$7.04256$	$[1, 0, 1, -97538669574, 11728529023821016]$	$y^2+xy+y=x^3-97538669574x+11728529023821016$	3.8.0-3.a.1.1, 199752.16.0.?	$[]$
249690.p1	249690p4	249690.p	249690p	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{9} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 29 \cdot 41^{6}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$998760$	$96$	$1$	$1$	$1$		$0$	$35831808$	$3.210754$	$1229048126316510366579127129/275557841114643864000000$	$0.97215$	$5.01900$	$[1, 0, 1, -22315934, -31759654768]$	$y^2+xy+y=x^3-22315934x-31759654768$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 1624.6.0.?, 2460.48.0.?, $\ldots$	$[]$
249690.p2	249690p2	249690.p	249690p	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{3} \cdot 3^{18} \cdot 5^{2} \cdot 7 \cdot 29^{3} \cdot 41^{2}$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$998760$	$96$	$1$	$1$	$1$		$4$	$11943936$	$2.661446$	$41280281321113046855697769/22236801933860501400$	$0.95783$	$4.74594$	$[1, 0, 1, -7200119, 7432249826]$	$y^2+xy+y=x^3-7200119x+7432249826$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 1624.6.0.?, 2460.48.0.?, $\ldots$	$[]$
249690.p3	249690p1	249690.p	249690p	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{6} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 29^{6} \cdot 41$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$998760$	$96$	$1$	$1$	$1$		$5$	$5971968$	$2.314873$	$-5656430078461972326889/7526779526825979840$	$0.97927$	$4.12624$	$[1, 0, 1, -371199, 158084242]$	$y^2+xy+y=x^3-371199x+158084242$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 1230.48.0.?, 1624.6.0.?, $\ldots$	$[]$
249690.p4	249690p3	249690.p	249690p	$4$	$6$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 29^{2} \cdot 41^{3}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$998760$	$96$	$1$	$1$	$1$		$1$	$17915904$	$2.864178$	$3451340661386225790250151/6033224766436245504000$	$0.96229$	$4.60286$	$[1, 0, 1, 3148386, -3056273264]$	$y^2+xy+y=x^3+3148386x-3056273264$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 1230.48.0.?, 1624.6.0.?, $\ldots$	$[]$
249690.q1	249690q2	249690.q	249690q	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2 \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 29^{2} \cdot 41$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$199752$	$12$	$0$	$1.349075402$	$1$		$4$	$420864$	$0.910822$	$2066289730584409/219945678750$	$0.84540$	$2.83751$	$[1, 0, 1, -2654, 47306]$	$y^2+xy+y=x^3-2654x+47306$	2.3.0.a.1, 348.6.0.?, 2296.6.0.?, 199752.12.0.?	$[(0, 217)]$
249690.q2	249690q1	249690.q	249690q	$2$	$2$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 29 \cdot 41^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$199752$	$12$	$0$	$0.674537701$	$1$		$7$	$210432$	$0.564248$	$1121946206471/6449492700$	$0.95327$	$2.40875$	$[1, 0, 1, 216, 3682]$	$y^2+xy+y=x^3+216x+3682$	2.3.0.a.1, 174.6.0.?, 2296.6.0.?, 199752.12.0.?	$[(-4, 54)]$
249690.r1	249690r4	249690.r	249690r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 7 \cdot 29 \cdot 41$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$199752$	$48$	$0$	$8.154058691$	$1$		$0$	$25231360$	$3.007488$	$151145091830652719189416254649/72551266423807500$	$0.98202$	$5.40619$	$[1, 0, 1, -110974564, -449978959738]$	$y^2+xy+y=x^3-110974564x-449978959738$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 116.12.0.?, 696.24.0.?, $\ldots$	$[(92635/2, 24435943/2)]$
249690.r2	249690r3	249690.r	249690r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{2} \cdot 3^{5} \cdot 5^{16} \cdot 7 \cdot 29^{4} \cdot 41$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$199752$	$48$	$0$	$8.154058691$	$1$		$0$	$25231360$	$3.007488$	$63966602131151714439407929/30106496716918945312500$	$0.97242$	$4.78118$	$[1, 0, 1, -8331884, -4000466554]$	$y^2+xy+y=x^3-8331884x-4000466554$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 232.12.0.?, 696.24.0.?, $\ldots$	$[(353229/4, 207388027/4)]$
249690.r3	249690r2	249690.r	249690r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 29^{2} \cdot 41^{2}$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$99876$	$48$	$0$	$4.077029345$	$1$		$4$	$12615680$	$2.660915$	$36919067732179260274854649/25565385969506250000$	$0.95746$	$4.73696$	$[1, 0, 1, -6937064, -7028899738]$	$y^2+xy+y=x^3-6937064x-7028899738$	2.6.0.a.1, 12.12.0-2.a.1.1, 116.12.0.?, 348.24.0.?, 1148.12.0.?, $\ldots$	$[(22065, 3242071)]$
249690.r4	249690r1	249690.r	249690r	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 7^{4} \cdot 29 \cdot 41^{4}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$199752$	$48$	$0$	$2.038514672$	$1$		$3$	$6307840$	$2.314339$	$-4642493470160523070969/7649831004570720000$	$0.93710$	$4.12271$	$[1, 0, 1, -347544, -154712474]$	$y^2+xy+y=x^3-347544x-154712474$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 116.12.0.?, 174.6.0.?, $\ldots$	$[(1193, 33003)]$
249690.s1	249690s1	249690.s	249690s	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{8} \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 29 \cdot 41$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$166460$	$2$	$0$	$0.357421615$	$1$		$24$	$1161216$	$1.407881$	$280189736164847881/141541870176000$	$0.89525$	$3.23257$	$[1, 0, 1, -13633, -219532]$	$y^2+xy+y=x^3-13633x-219532$	166460.2.0.?	$[(-56, 635), (-101, 410)]$
249690.t1	249690t1	249690.t	249690t	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{11} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 29 \cdot 41$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$199752$	$2$	$0$	$1.640275013$	$1$		$2$	$422400$	$0.962769$	$-1771561/799008000000$	$1.08075$	$2.80507$	$[1, 0, 1, -3, 43006]$	$y^2+xy+y=x^3-3x+43006$	199752.2.0.?	$[(-20, 197)]$
249690.u1	249690u1	249690.u	249690u	$1$	$1$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2 \cdot 3^{9} \cdot 5 \cdot 7 \cdot 29 \cdot 41^{9}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$998760$	$2$	$0$	$7.808557474$	$1$		$2$	$24883200$	$3.022064$	$456921224112061401712374601/13081032987792958756890$	$0.96583$	$4.93938$	$[1, 0, 1, -16046213, 24119355278]$	$y^2+xy+y=x^3-16046213x+24119355278$	998760.2.0.?	$[(-4008, 157090)]$
249690.v1	249690v2	249690.v	249690v	$2$	$3$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{15} \cdot 3^{2} \cdot 5^{5} \cdot 7^{3} \cdot 29^{3} \cdot 41^{3}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$998760$	$16$	$0$	$1$	$1$		$0$	$21384000$	$2.835922$	$-139697438374379634892156441/531351792476467200000$	$0.96180$	$4.84456$	$[1, 0, 1, -10809898, -13725606244]$	$y^2+xy+y=x^3-10809898x-13725606244$	3.8.0-3.a.1.1, 332920.2.0.?, 998760.16.0.?	$[]$
249690.v2	249690v1	249690.v	249690v	$2$	$3$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$- 2^{5} \cdot 3^{6} \cdot 5^{15} \cdot 7 \cdot 29 \cdot 41$	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$998760$	$16$	$0$	$1$	$1$		$2$	$7128000$	$2.286617$	$2970408770986067593559/5925260742187500000$	$0.93718$	$4.05036$	$[1, 0, 1, 299477, -98649994]$	$y^2+xy+y=x^3+299477x-98649994$	3.8.0-3.a.1.2, 332920.2.0.?, 998760.16.0.?	$[]$
249690.w1	249690w4	249690.w	249690w	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{12} \cdot 3^{5} \cdot 5^{4} \cdot 7 \cdot 29^{8} \cdot 41$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$34440$	$48$	$0$	$1$	$1$		$0$	$115998720$	$3.784931$	$391362528278919320986997046883321/89312473820961538560000$	$1.00107$	$6.03857$	$[1, 0, 1, -1523883768, -22896979803194]$	$y^2+xy+y=x^3-1523883768x-22896979803194$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 1722.6.0.?, 3444.24.0.?, $\ldots$	$[]$
249690.w2	249690w2	249690.w	249690w	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{24} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 29^{4} \cdot 41^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$17220$	$48$	$0$	$1$	$1$		$2$	$57999360$	$3.438358$	$96590636906673400989358404601/1442873432523621688934400$	$0.98102$	$5.37017$	$[1, 0, 1, -95588088, -355046063162]$	$y^2+xy+y=x^3-95588088x-355046063162$	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 3444.24.0.?, 17220.48.0.?	$[]$
249690.w3	249690w1	249690.w	249690w	$4$	$4$	$2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41$	$2^{48} \cdot 3^{5} \cdot 5 \cdot 7 \cdot 29^{2} \cdot 41$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$34440$	$48$	$0$	$1$	$4$	$2$	$1$	$28999680$	$3.091782$	$177216775746596456928293881/82545606405020901703680$	$0.97519$	$4.86317$	$[1, 0, 1, -11702008, 6804931526]$	$y^2+xy+y=x^3-11702008x+6804931526$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$	$[]$

  Download displayed columns for results to