Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2240.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2240.a1 | 2240s1 | \([0, 0, 0, -1648, -26528]\) | \(-30211716096/1071875\) | \(-17561600000\) | \([]\) | \(3840\) | \(0.73804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2240.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2240.a do not have complex multiplication.Modular form 2240.2.a.a
sage: E.q_eigenform(10)