Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 7400.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7400.a1 | 7400b1 | \([0, 1, 0, -8, -18512]\) | \(-2/4625\) | \(-148000000000\) | \([]\) | \(5760\) | \(0.82226\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7400.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7400.a do not have complex multiplication.Modular form 7400.2.a.a
sage: E.q_eigenform(10)