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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 378.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 378.f1 | 378c1 | \([1, -1, 1, -2, -107]\) | \(-3/28\) | \(-4960116\) | \([]\) | \(72\) | \(-0.036342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 378.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 378.f do not have complex multiplication.Modular form 378.2.a.f
sage: E.q_eigenform(10)