Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 25410d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25410.d1 | 25410d1 | \([1, 1, 0, -32298, 2252628]\) | \(-30795427858316209/512309629440\) | \(-61989465162240\) | \([]\) | \(90720\) | \(1.4459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25410d do not have complex multiplication.Modular form 25410.2.a.d
sage: E.q_eigenform(10)