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SageMath
E = EllipticCurve("pv1")
E.isogeny_class()
Elliptic curves in class 310464.pv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.pv1 | 310464pv1 | \([0, 0, 0, -137437356, -642918382288]\) | \(-260607143968297/11270993184\) | \(-12416922129595588656758784\) | \([]\) | \(90316800\) | \(3.5808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.pv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.pv do not have complex multiplication.Modular form 310464.2.a.pv
sage: E.q_eigenform(10)