Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 257600.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.e1 | 257600e1 | \([0, 0, 0, -3820, -103280]\) | \(-7525300680/1270129\) | \(-1040489676800\) | \([]\) | \(724992\) | \(1.0326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257600.e do not have complex multiplication.Modular form 257600.2.a.e
sage: E.q_eigenform(10)