Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 1456.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1456.l1 | 1456b1 | \([0, -1, 0, -1, -51]\) | \(-1024/4459\) | \(-1141504\) | \([]\) | \(192\) | \(-0.15875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1456.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1456.l do not have complex multiplication.Modular form 1456.2.a.l
sage: E.q_eigenform(10)