| 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 |
| 4182.h1 |
4182h2 |
4182.h |
4182h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 41 \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{15} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$4182$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$797040$ |
$3.211323$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$7.55527$ |
$[1, 0, 0, -25997924, -55433796144]$ |
\(y^2+xy=x^3-25997924x-55433796144\) |
3.8.0-3.a.1.1, 4182.16.0.? |
$[ ]$ |
| 12546.b1 |
12546e2 |
12546.b |
12546e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 17 \cdot 41 \) |
\( - 2^{6} \cdot 3^{9} \cdot 17^{15} \cdot 41 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$4182$ |
$16$ |
$0$ |
$5.601252971$ |
$1$ |
|
$4$ |
$6376320$ |
$3.760628$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$7.37422$ |
$[1, -1, 0, -233981316, 1496712495888]$ |
\(y^2+xy=x^3-x^2-233981316x+1496712495888\) |
3.8.0-3.a.1.2, 4182.16.0.? |
$[(9424, 353852)]$ |
| 33456.h1 |
33456n2 |
33456.h |
33456n |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 17 \cdot 41 \) |
\( - 2^{18} \cdot 3^{3} \cdot 17^{15} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8364$ |
$16$ |
$0$ |
$30.15616106$ |
$1$ |
|
$0$ |
$19128960$ |
$3.904469$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.84564$ |
$[0, -1, 0, -415966784, 3547762953216]$ |
\(y^2=x^3-x^2-415966784x+3547762953216\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 4182.8.0.?, 8364.16.0.? |
$[(111809824308256/99905, 540350220952497408896/99905)]$ |
| 71094.p1 |
71094r2 |
71094.p |
71094r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 41 \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{21} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4182$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$229547520$ |
$4.627930$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$7.16085$ |
$[1, 1, 1, -7513400042, -272338727055433]$ |
\(y^2+xy+y=x^3+x^2-7513400042x-272338727055433\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 246.8.0.?, 4182.16.0.? |
$[ ]$ |
| 100368.g1 |
100368bt2 |
100368.g |
100368bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 41 \) |
\( - 2^{18} \cdot 3^{9} \cdot 17^{15} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8364$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153031680$ |
$4.453773$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.76497$ |
$[0, 0, 0, -3743701059, -95785856035774]$ |
\(y^2=x^3-3743701059x-95785856035774\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 4182.8.0.?, 8364.16.0.? |
$[ ]$ |
| 104550.j1 |
104550g2 |
104550.j |
104550g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 41 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 17^{15} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20910$ |
$16$ |
$0$ |
$9.833847046$ |
$1$ |
|
$2$ |
$86080320$ |
$4.016045$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.28658$ |
$[1, 1, 0, -649948100, -6929224518000]$ |
\(y^2+xy=x^3+x^2-649948100x-6929224518000\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 4182.8.0.?, 20910.16.0.? |
$[(37776, 4716876)]$ |
| 133824.c1 |
133824bx2 |
133824.c |
133824bx |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 17 \cdot 41 \) |
\( - 2^{24} \cdot 3^{3} \cdot 17^{15} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16728$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$153031680$ |
$4.251045$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.39400$ |
$[0, -1, 0, -1663867137, -28380439758591]$ |
\(y^2=x^3-x^2-1663867137x-28380439758591\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 4182.8.0.?, 16728.16.0.? |
$[ ]$ |
| 133824.bi1 |
133824d2 |
133824.bi |
133824d |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 17 \cdot 41 \) |
\( - 2^{24} \cdot 3^{3} \cdot 17^{15} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16728$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$153031680$ |
$4.251045$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.39400$ |
$[0, 1, 0, -1663867137, 28380439758591]$ |
\(y^2=x^3+x^2-1663867137x+28380439758591\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 4182.8.0.?, 16728.16.0.? |
$[ ]$ |
| 171462.q1 |
171462l2 |
171462.q |
171462l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 41^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{15} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4182$ |
$16$ |
$0$ |
$6.582775281$ |
$1$ |
|
$0$ |
$1339027200$ |
$5.068108$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$7.07605$ |
$[1, 1, 1, -43702510279, -3820421556509827]$ |
\(y^2+xy+y=x^3+x^2-43702510279x-3820421556509827\) |
3.4.0.a.1, 102.8.0.?, 123.8.0.?, 4182.16.0.? |
$[(1413563131/70, 29813911686819/70)]$ |
| 204918.bx1 |
204918w2 |
204918.bx |
204918w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \cdot 41 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 17^{15} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29274$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$301281120$ |
$4.184280$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.10574$ |
$[1, 1, 1, -1273898277, 19012518179115]$ |
\(y^2+xy+y=x^3+x^2-1273898277x+19012518179115\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 4182.8.0.?, 29274.16.0.? |
$[ ]$ |
| 213282.ba1 |
213282bu2 |
213282.ba |
213282bu |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 41 \) |
\( - 2^{6} \cdot 3^{9} \cdot 17^{21} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4182$ |
$16$ |
$0$ |
$19.94901362$ |
$1$ |
|
$0$ |
$1836380160$ |
$5.177238$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$7.05691$ |
$[1, -1, 0, -67620600378, 7353078009896308]$ |
\(y^2+xy=x^3-x^2-67620600378x+7353078009896308\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 246.8.0.?, 4182.16.0.? |
$[(2964029771/95, 122824344809659/95)]$ |
| 313650.ef1 |
313650ef2 |
313650.ef |
313650ef |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 41 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 17^{15} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20910$ |
$16$ |
$0$ |
$16.77439428$ |
$1$ |
|
$0$ |
$688642560$ |
$4.565346$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.26170$ |
$[1, -1, 1, -5849532905, 187083212453097]$ |
\(y^2+xy+y=x^3-x^2-5849532905x+187083212453097\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 4182.8.0.?, 20910.16.0.? |
$[(256739795/79, 1965920618964/79)]$ |
| 401472.ek1 |
401472ek2 |
401472.ek |
401472ek |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 41 \) |
\( - 2^{24} \cdot 3^{9} \cdot 17^{15} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16728$ |
$16$ |
$0$ |
$5.278054787$ |
$1$ |
|
$2$ |
$1224253440$ |
$4.800346$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.36046$ |
$[0, 0, 0, -14974804236, 766286848286192]$ |
\(y^2=x^3-14974804236x+766286848286192\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 4182.8.0.?, 16728.16.0.? |
$[(171253, 56782431)]$ |
| 401472.en1 |
401472en2 |
401472.en |
401472en |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 41 \) |
\( - 2^{24} \cdot 3^{9} \cdot 17^{15} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16728$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1224253440$ |
$4.800346$ |
$-1943299427371886688757286977/202796948353367429302464$ |
$1.03647$ |
$6.36046$ |
$[0, 0, 0, -14974804236, -766286848286192]$ |
\(y^2=x^3-14974804236x-766286848286192\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 4182.8.0.?, 16728.16.0.? |
$[ ]$ |
