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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
132858.cr1 |
132858ba3 |
132858.cr |
132858ba |
$3$ |
$25$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 61 \) |
\( 2 \cdot 3^{6} \cdot 11^{7} \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$402600$ |
$1200$ |
$37$ |
$1$ |
$625$ |
$5$ |
$0$ |
$288000000$ |
$4.393654$ |
$178296503348692983836197044001/1342$ |
$[1, -1, 1, -127693145273, -17562999979494021]$ |
\(y^2+xy+y=x^3-x^2-127693145273x-17562999979494021\) |
5.12.0.a.2, 25.60.0.a.2, 165.24.0.?, 825.120.0.?, 5368.2.0.?, $\ldots$ |
$[]$ |
287175.n2 |
287175n4 |
287175.n |
287175n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 547 \) |
\( 3^{14} \cdot 5^{22} \cdot 7^{4} \cdot 547^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$459480$ |
$192$ |
$1$ |
$1$ |
$625$ |
$5$ |
$2$ |
$17952915456$ |
$6.436638$ |
$49174122663907533454566535773091278018750001/524305541842944488525390625$ |
$[1, 1, 0, -190814326171875, -1014529347971625321000]$ |
\(y^2+xy=x^3+x^2-190814326171875x-1014529347971625321000\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.1, 24.24.0.i.1, 56.24.0.m.1, $\ldots$ |
$[]$ |
321398.d1 |
321398d1 |
321398.d |
321398d |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 11 \cdot 2087 \) |
\( - 2^{31} \cdot 7^{9} \cdot 11^{5} \cdot 2087 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1285592$ |
$2$ |
$0$ |
$1$ |
$625$ |
$5$ |
$0$ |
$356718240$ |
$3.936691$ |
$-396925117186052884102821926496873/29127157257445988297080832$ |
$[1, -1, 0, -1531069681, -23060083371235]$ |
\(y^2+xy=x^3-x^2-1531069681x-23060083371235\) |
1285592.2.0.? |
$[]$ |
366100.y1 |
366100y1 |
366100.y |
366100y |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 523 \) |
\( - 2^{8} \cdot 5^{10} \cdot 7^{4} \cdot 523 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1046$ |
$2$ |
$0$ |
$1$ |
$625$ |
$5$ |
$0$ |
$2240784000$ |
$5.256721$ |
$-3941971171351477382224800847667200/1255723$ |
$[0, -1, 0, -4466595048333, -3633396603029145463]$ |
\(y^2=x^3-x^2-4466595048333x-3633396603029145463\) |
1046.2.0.? |
$[]$ |
387838.p1 |
387838p3 |
387838.p |
387838p |
$3$ |
$25$ |
\( 2 \cdot 11 \cdot 17^{2} \cdot 61 \) |
\( 2 \cdot 11 \cdot 17^{6} \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$2281400$ |
$1200$ |
$37$ |
$1$ |
$625$ |
$5$ |
$0$ |
$403200000$ |
$4.062004$ |
$178296503348692983836197044001/1342$ |
$[1, 0, 0, -33887345256, -2401070685435262]$ |
\(y^2+xy=x^3-33887345256x-2401070685435262\) |
5.12.0.a.2, 25.60.0.a.2, 85.24.0.?, 425.120.0.?, 5368.2.0.?, $\ldots$ |
$[]$ |
423801.ci1 |
423801ci1 |
423801.ci |
423801ci |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 31^{2} \) |
\( - 3^{17} \cdot 7^{10} \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$625$ |
$5$ |
$0$ |
$23569920000$ |
$5.955963$ |
$-7776720357545683677184/425329947$ |
$[0, 0, 1, -17034726259173, -27061436852750306309]$ |
\(y^2+y=x^3-17034726259173x-27061436852750306309\) |
6.2.0.a.1 |
$[]$ |
437190.bj1 |
437190bj2 |
437190.bj |
437190bj |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19 \cdot 59 \) |
\( - 2 \cdot 3^{5} \cdot 5^{2} \cdot 13 \cdot 19 \cdot 59^{20} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$29640$ |
$48$ |
$1$ |
$1$ |
$625$ |
$5$ |
$0$ |
$131024000000$ |
$7.067703$ |
$-7078241707479474066513075942802744427920182518161/783995308866045985608709009501623407941050$ |
$[1, 0, 0, -400006663034465, -3079573073401949750733]$ |
\(y^2+xy=x^3-400006663034465x-3079573073401949750733\) |
5.24.0-5.a.2.2, 5928.2.0.?, 29640.48.1.? |
$[]$ |
472834.a1 |
472834a1 |
472834.a |
472834a |
$1$ |
$1$ |
\( 2 \cdot 19 \cdot 23 \cdot 541 \) |
\( - 2^{104} \cdot 19^{3} \cdot 23 \cdot 541 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$945668$ |
$2$ |
$0$ |
$1$ |
$625$ |
$5$ |
$0$ |
$36180518400$ |
$6.217789$ |
$2546717726666099569272885709562552380490951/1731033421687212624949219767930262126592$ |
$[1, 1, 0, 2845022462837, 771661314054532925]$ |
\(y^2+xy=x^3+x^2+2845022462837x+771661314054532925\) |
945668.2.0.? |
$[]$ |
148927853.a1 |
- |
148927853.a |
- |
$1$ |
$1$ |
\( 148927853 \) |
\( 148927853 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$297855706$ |
$2$ |
$0$ |
$1$ |
$625$ |
$5$ |
$0$ |
|
$2.760170$ |
$197507340398117546932879774009/148927853$ |
$[1, 1, 0, -121325803, -514423213740]$ |
\(y^2+xy=x^3+x^2-121325803x-514423213740\) |
297855706.2.0.? |
$[]$ |