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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 23184.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23184.f1 | 23184bl1 | \([0, 0, 0, -738939, -245695574]\) | \(-14943832855786297/85501108224\) | \(-255304941139132416\) | \([]\) | \(299520\) | \(2.1819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23184.f do not have complex multiplication.Modular form 23184.2.a.f
sage: E.q_eigenform(10)