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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 90354.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 90354.f1 | 90354e1 | \([1, 1, 0, 51994, -2037228]\) | \(6058428767/4219776\) | \(-10826790723264384\) | \([]\) | \(919296\) | \(1.7653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90354.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90354.f do not have complex multiplication.Modular form 90354.2.a.f
sage: E.q_eigenform(10)