Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 2256.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2256.e1 | 2256i1 | \([0, -1, 0, -421, 3469]\) | \(2019487744/141\) | \(577536\) | \([]\) | \(480\) | \(0.15872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2256.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2256.e do not have complex multiplication.Modular form 2256.2.a.e
sage: E.q_eigenform(10)