| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 10626.h2 |
10626g3 |
10626.h |
10626g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$21252$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$359424$ |
$2.443752$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.06277$ |
$1$ |
$[1, 0, 1, -2854611, -1857894866]$ |
\(y^2+xy+y=x^3-2854611x-1857894866\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 14.6.0.b.1, 42.48.0-42.b.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 31878.bg2 |
31878bl3 |
31878.bg |
31878bl |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{12} \cdot 3^{10} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$21252$ |
$96$ |
$1$ |
$2.444530190$ |
$1$ |
|
$13$ |
$2875392$ |
$2.993057$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.05612$ |
$1$ |
$[1, -1, 1, -25691495, 50163161375]$ |
\(y^2+xy+y=x^3-x^2-25691495x+50163161375\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 14.6.0.b.1, 42.48.0-42.b.1.4, $\ldots$ |
$[(2947, 4686)]$ |
$1$ |
| 74382.g2 |
74382f3 |
74382.g |
74382f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{9} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$5.445823093$ |
$1$ |
|
$3$ |
$17252352$ |
$3.416706$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.05188$ |
$1$ |
$[1, 1, 0, -139875915, 637118063037]$ |
\(y^2+xy=x^3+x^2-139875915x+637118063037\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 14.6.0.b.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(-10842, 943149)]$ |
$1$ |
| 85008.p2 |
85008be3 |
85008.p |
85008be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{24} \cdot 3^{4} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$1.206812706$ |
$1$ |
|
$7$ |
$8626176$ |
$3.136898$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$5.68487$ |
$1$ |
$[0, -1, 0, -45673768, 118905271408]$ |
\(y^2=x^3-x^2-45673768x+118905271408\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 14.6.0.b.1, $\ldots$ |
$[(3972, 11776)]$ |
$1$ |
| 116886.br2 |
116886bl3 |
116886.br |
116886bl |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{3} \cdot 11^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$43130880$ |
$3.642700$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.04987$ |
$1$ |
$[1, 0, 0, -345407873, 2472512658441]$ |
\(y^2+xy=x^3-345407873x+2472512658441\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 33.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 223146.dr2 |
223146x3 |
223146.dr |
223146x |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{12} \cdot 3^{10} \cdot 7^{9} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$6.912702053$ |
$1$ |
|
$3$ |
$138018816$ |
$3.966011$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.04725$ |
$1$ |
$[1, -1, 1, -1258883240, -17203446585237]$ |
\(y^2+xy+y=x^3-x^2-1258883240x-17203446585237\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 14.6.0.b.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(175109, 71548521)]$ |
$1$ |
| 244398.l2 |
244398l3 |
244398.l |
244398l |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{3} \cdot 11^{2} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$7.665849059$ |
$1$ |
|
$1$ |
$189775872$ |
$4.011497$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.04691$ |
$1$ |
$[1, 0, 1, -1510088966, 22601986653656]$ |
\(y^2+xy+y=x^3-1510088966x+22601986653656\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 42.24.0.b.1, $\ldots$ |
$[(162693/4, 184037959/4)]$ |
$1$ |
| 255024.ct2 |
255024ct3 |
255024.ct |
255024ct |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{24} \cdot 3^{10} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$69009408$ |
$3.686203$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$5.71268$ |
$1$ |
$[0, 0, 0, -411063915, -3210031264102]$ |
\(y^2=x^3-411063915x-3210031264102\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 14.6.0.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 265650.ez2 |
265650ez3 |
265650.ez |
265650ez |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$106260$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$51757056$ |
$3.248470$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$5.27344$ |
$1$ |
$[1, 1, 1, -71365263, -232236858219]$ |
\(y^2+xy+y=x^3+x^2-71365263x-232236858219\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 15.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 340032.bn2 |
340032bn3 |
340032.bn |
340032bn |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{30} \cdot 3^{4} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$42504$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$69009408$ |
$3.483471$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$5.39264$ |
$1$ |
$[0, -1, 0, -182695073, -951059476191]$ |
\(y^2=x^3-x^2-182695073x-951059476191\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 340032.ex2 |
340032ex3 |
340032.ex |
340032ex |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{30} \cdot 3^{4} \cdot 7^{3} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$42504$ |
$96$ |
$1$ |
$2.141079749$ |
$1$ |
|
$5$ |
$69009408$ |
$3.483471$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$5.39264$ |
$1$ |
$[0, 1, 0, -182695073, 951059476191]$ |
\(y^2=x^3+x^2-182695073x+951059476191\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.14, $\ldots$ |
$[(6919, 135168)]$ |
$1$ |
| 350658.bc2 |
350658bc3 |
350658.bc |
350658bc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{10} \cdot 7^{3} \cdot 11^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$21252$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$345047040$ |
$4.192001$ |
$-2572552807198813678947625/2038409681283182592$ |
$1.00174$ |
$6.04558$ |
$1$ |
$[1, -1, 0, -3108670857, -66757841777907]$ |
\(y^2+xy=x^3-x^2-3108670857x-66757841777907\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 33.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
$1$ |
