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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 14440.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14440.f1 | 14440g1 | \([0, -1, 0, -592160, 178293100]\) | \(-34747958/625\) | \(-413040253157120000\) | \([]\) | \(170240\) | \(2.1766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14440.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14440.f do not have complex multiplication.Modular form 14440.2.a.f
sage: E.q_eigenform(10)