Show commands:
SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 140790cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.m1 | 140790cl1 | \([1, 1, 0, -4564852, -3976889726]\) | \(-223605437236681681/15687449019450\) | \(-738029859762611385450\) | \([]\) | \(8467200\) | \(2.7547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140790cl do not have complex multiplication.Modular form 140790.2.a.cl
sage: E.q_eigenform(10)