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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 52800.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.v1 | 52800ej1 | \([0, -1, 0, -353, 2817]\) | \(-1488770/99\) | \(-324403200\) | \([]\) | \(15360\) | \(0.38525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800.v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 52800.v do not have complex multiplication.Modular form 52800.2.a.v
sage: E.q_eigenform(10)