Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 457056l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
457056.l1 | 457056l1 | \([0, 0, 0, 114264, 5256144]\) | \(1536\) | \(-107413969423085568\) | \([]\) | \(3421440\) | \(1.9568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457056l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 457056l do not have complex multiplication.Modular form 457056.2.a.l
sage: E.q_eigenform(10)