Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 485100.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.v1 | 485100v1 | \([0, 0, 0, -35280, 2682260]\) | \(-238878720/14641\) | \(-297647828755200\) | \([]\) | \(1900800\) | \(1.5319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485100.v do not have complex multiplication.Modular form 485100.2.a.v
sage: E.q_eigenform(10)