Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 334620f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.f1 | 334620f1 | \([0, 0, 0, -273, 13637]\) | \(-1141504/40095\) | \(-79035905520\) | \([]\) | \(276480\) | \(0.77136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620f do not have complex multiplication.Modular form 334620.2.a.f
sage: E.q_eigenform(10)