| 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 |
| 337535.a1 |
337535a1 |
337535.a |
337535a |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5 \cdot 11^{2} \cdot 17^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$170$ |
$2$ |
$0$ |
$0.172343659$ |
$1$ |
|
$8$ |
$247104$ |
$0.547124$ |
$267944218624/2972365$ |
$0.80093$ |
$2.52980$ |
$[0, -1, 1, -956, 11592]$ |
\(y^2+y=x^3-x^2-956x+11592\) |
170.2.0.? |
$[(3, 93)]$ |
| 337535.b1 |
337535b1 |
337535.b |
337535b |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11^{6} \cdot 17 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$0.962239483$ |
$1$ |
|
$4$ |
$8225280$ |
$2.162746$ |
$-151385348878336/14305355075$ |
$0.84222$ |
$3.96473$ |
$[0, -1, 1, -400830, -105215994]$ |
\(y^2+y=x^3-x^2-400830x-105215994\) |
646.2.0.? |
$[(2350, 109202)]$ |
| 337535.c1 |
337535c1 |
337535.c |
337535c |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{4} \cdot 11 \cdot 17 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.978016998$ |
$1$ |
|
$4$ |
$2211840$ |
$1.747290$ |
$-3522909597696/42191875$ |
$0.81224$ |
$3.65904$ |
$[0, 0, 1, -114437, 15053790]$ |
\(y^2+y=x^3-114437x+15053790\) |
374.2.0.? |
$[(228, 902)]$ |
| 337535.d1 |
337535d1 |
337535.d |
337535d |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11 \cdot 17 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14212$ |
$2$ |
$0$ |
$3.735659308$ |
$1$ |
|
$0$ |
$1658880$ |
$1.591415$ |
$-4826809/32065825$ |
$0.93314$ |
$3.33124$ |
$[1, 1, 1, -1271, 1868254]$ |
\(y^2+xy+y=x^3+x^2-1271x+1868254\) |
14212.2.0.? |
$[(-284/3, 37415/3)]$ |
| 337535.e1 |
337535e1 |
337535.e |
337535e |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11 \cdot 17 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288000$ |
$0.857500$ |
$-262144/4675$ |
$1.01736$ |
$2.63981$ |
$[0, -1, 1, -481, 23087]$ |
\(y^2+y=x^3-x^2-481x+23087\) |
374.2.0.? |
$[]$ |
| 337535.f1 |
337535f1 |
337535.f |
337535f |
$2$ |
$3$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{6} \cdot 11^{3} \cdot 17^{3} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21318$ |
$16$ |
$0$ |
$2.640257289$ |
$1$ |
|
$0$ |
$34836480$ |
$3.255360$ |
$-6442497819862368256/13315554283796875$ |
$0.98009$ |
$4.90956$ |
$[0, -1, 1, -13994285, -43078024244]$ |
\(y^2+y=x^3-x^2-13994285x-43078024244\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 21318.16.0.? |
$[(87205/2, 25315121/2)]$ |
| 337535.f2 |
337535f2 |
337535.f |
337535f |
$2$ |
$3$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11 \cdot 17 \cdot 19^{18} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21318$ |
$16$ |
$0$ |
$7.920771869$ |
$9$ |
$3$ |
$0$ |
$104509440$ |
$3.804665$ |
$4166491309798005407744/10347247246634302675$ |
$1.00757$ |
$5.39218$ |
$[0, -1, 1, 121019715, 929615149681]$ |
\(y^2+y=x^3-x^2+121019715x+929615149681\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 374.2.0.?, 1122.8.0.?, 21318.16.0.? |
$[(81125/2, 27394481/2)]$ |
| 337535.g1 |
337535g1 |
337535.g |
337535g |
$2$ |
$3$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{6} \cdot 11^{3} \cdot 17 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21318$ |
$16$ |
$0$ |
$23.77949003$ |
$1$ |
|
$0$ |
$10119168$ |
$2.384857$ |
$-251784668965666816/353546875$ |
$0.98443$ |
$4.53548$ |
$[0, -1, 1, -4749075, -3981893192]$ |
\(y^2+y=x^3-x^2-4749075x-3981893192\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 21318.16.0.? |
$[(1288769577416/14233, 1362327933914374999/14233)]$ |
| 337535.g2 |
337535g2 |
337535.g |
337535g |
$2$ |
$3$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11^{9} \cdot 17^{3} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21318$ |
$16$ |
$0$ |
$71.33847010$ |
$1$ |
|
$0$ |
$30357504$ |
$2.934162$ |
$-99546392709922816/289614925147075$ |
$1.08051$ |
$4.60369$ |
$[0, -1, 1, -3485575, -6148100767]$ |
\(y^2+y=x^3-x^2-3485575x-6148100767\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 374.2.0.?, 1122.8.0.?, 21318.16.0.? |
$[(336965105923857609007024891873569/230749775878391, 5830678547448197994290207946965986976389994181722/230749775878391)]$ |
| 337535.h1 |
337535h3 |
337535.h |
337535h |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5^{2} \cdot 11^{8} \cdot 17 \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2584$ |
$48$ |
$0$ |
$8.436152209$ |
$1$ |
|
$2$ |
$11796480$ |
$2.821125$ |
$9022827862553106321/1730947964075$ |
$1.06015$ |
$4.81663$ |
$[1, -1, 0, -15657179, 23846118310]$ |
\(y^2+xy=x^3-x^2-15657179x+23846118310\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 152.24.0.?, 1292.24.0.?, $\ldots$ |
$[(393469/12, 63646231/12)]$ |
| 337535.h2 |
337535h2 |
337535.h |
337535h |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5^{4} \cdot 11^{4} \cdot 17^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1292$ |
$48$ |
$0$ |
$4.218076104$ |
$1$ |
|
$4$ |
$5898240$ |
$2.474548$ |
$2976103845372321/954675555625$ |
$1.04381$ |
$4.18684$ |
$[1, -1, 0, -1081804, 289397235]$ |
\(y^2+xy=x^3-x^2-1081804x+289397235\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.b.1.3, 76.24.0.?, 1292.48.0.? |
$[(2226, 93267)]$ |
| 337535.h3 |
337535h1 |
337535.h |
337535h |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5^{2} \cdot 11^{2} \cdot 17 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2584$ |
$48$ |
$0$ |
$8.436152209$ |
$1$ |
|
$1$ |
$2949120$ |
$2.127975$ |
$187159063691601/6701757425$ |
$0.85612$ |
$3.96951$ |
$[1, -1, 0, -430199, -105084432]$ |
\(y^2+xy=x^3-x^2-430199x-105084432\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ |
$[(6928/3, 108688/3)]$ |
| 337535.h4 |
337535h4 |
337535.h |
337535h |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{8} \cdot 11^{2} \cdot 17^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2584$ |
$48$ |
$0$ |
$2.109038052$ |
$1$ |
|
$4$ |
$11796480$ |
$2.821125$ |
$67876869278132559/75005773046875$ |
$0.91569$ |
$4.43249$ |
$[1, -1, 0, 3067891, 1971683588]$ |
\(y^2+xy=x^3-x^2+3067891x+1971683588\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 38.6.0.b.1, 76.24.0.?, 136.24.0.?, $\ldots$ |
$[(-128, 39774)]$ |
| 337535.i1 |
337535i3 |
337535.i |
337535i |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5 \cdot 11^{4} \cdot 17^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$13.43844168$ |
$1$ |
|
$0$ |
$11427840$ |
$2.626640$ |
$70752980652120801/2757103004645$ |
$0.92501$ |
$4.43575$ |
$[1, -1, 0, -3110624, 2040081175]$ |
\(y^2+xy=x^3-x^2-3110624x+2040081175\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 76.12.0.?, $\ldots$ |
$[(29308950/313, 1029030973795/313)]$ |
| 337535.i2 |
337535i2 |
337535.i |
337535i |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5^{2} \cdot 11^{2} \cdot 17^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4180$ |
$48$ |
$0$ |
$26.87688337$ |
$1$ |
|
$2$ |
$5713920$ |
$2.280067$ |
$298091018920401/91207020025$ |
$0.89700$ |
$4.00608$ |
$[1, -1, 0, -502399, -93968520]$ |
\(y^2+xy=x^3-x^2-502399x-93968520\) |
2.6.0.a.1, 20.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 220.24.0.?, $\ldots$ |
$[(12159081601941/122924, 8028840449393472483/122924)]$ |
| 337535.i3 |
337535i1 |
337535.i |
337535i |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5^{4} \cdot 11 \cdot 17^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$13.43844168$ |
$1$ |
|
$1$ |
$2856960$ |
$1.933493$ |
$224766802102401/37750625$ |
$0.85685$ |
$3.98390$ |
$[1, -1, 0, -457274, -118886545]$ |
\(y^2+xy=x^3-x^2-457274x-118886545\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[(-38586659/316, 5142204767/316)]$ |
| 337535.i4 |
337535i4 |
337535.i |
337535i |
$4$ |
$4$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5 \cdot 11 \cdot 17^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8360$ |
$48$ |
$0$ |
$53.75376675$ |
$1$ |
|
$0$ |
$11427840$ |
$2.626640$ |
$6229402432551999/7289666525845$ |
$0.90070$ |
$4.24658$ |
$[1, -1, 0, 1383826, -633806115]$ |
\(y^2+xy=x^3-x^2+1383826x-633806115\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0-4.c.1.1, 152.12.0.?, $\ldots$ |
$[(4176791251497867380832591/6957235670, 8522414015468321995908354416338861101/6957235670)]$ |
| 337535.j1 |
337535j1 |
337535.j |
337535j |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11^{9} \cdot 17 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15966720$ |
$2.760605$ |
$-190150044774793921/19040427604825$ |
$0.89142$ |
$4.52596$ |
$[1, 1, 0, -4324787, 3747496586]$ |
\(y^2+xy=x^3+x^2-4324787x+3747496586\) |
14212.2.0.? |
$[]$ |
| 337535.k1 |
337535k1 |
337535.k |
337535k |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 5 \cdot 11^{2} \cdot 17^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$170$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4694976$ |
$2.019344$ |
$267944218624/2972365$ |
$0.80093$ |
$3.91766$ |
$[0, 1, 1, -345236, -77440079]$ |
\(y^2+y=x^3+x^2-345236x-77440079\) |
170.2.0.? |
$[]$ |
| 337535.l1 |
337535l1 |
337535.l |
337535l |
$1$ |
$1$ |
\( 5 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 5^{2} \cdot 11^{2} \cdot 17^{3} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$16381440$ |
$2.273926$ |
$173965390516224/101937257675$ |
$0.92288$ |
$3.96377$ |
$[0, 0, 1, 419843, 11727175]$ |
\(y^2+y=x^3+419843x+11727175\) |
646.2.0.? |
$[]$ |
