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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 284592f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 284592.f1 | 284592f1 | \([0, -1, 0, 38680, 3337776]\) | \(17999471/24057\) | \(-8553691979255808\) | \([]\) | \(2580480\) | \(1.7429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592f do not have complex multiplication.Modular form 284592.2.a.f
sage: E.q_eigenform(10)