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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 34307f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 34307.h1 | 34307f1 | \([1, 1, 0, -3, -3986]\) | \(-1/1421\) | \(-6858895589\) | \([]\) | \(16416\) | \(0.56628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34307f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34307f do not have complex multiplication.Modular form 34307.2.a.f
sage: E.q_eigenform(10)