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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 87120.ep
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 87120.ep1 | 87120di1 | \([0, 0, 0, -35937, -2767149]\) | \(-76032/5\) | \(-337538068377840\) | \([]\) | \(304128\) | \(1.5402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 87120.ep do not have complex multiplication.Modular form 87120.2.a.ep
sage: E.q_eigenform(10)