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SageMath
E = EllipticCurve("fv1")
E.isogeny_class()
Elliptic curves in class 479808.fv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 479808.fv1 | 479808fv1 | \([0, 0, 0, 2352, -10976]\) | \(27648/17\) | \(-884750598144\) | \([]\) | \(368640\) | \(0.98154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.fv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.fv do not have complex multiplication.Modular form 479808.2.a.fv
sage: E.q_eigenform(10)