Show commands:
SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 7350.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.ca1 | 7350cb1 | \([1, 1, 1, -37388, 3301031]\) | \(-125768785/30618\) | \(-1407100422656250\) | \([]\) | \(40320\) | \(1.6251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7350.ca do not have complex multiplication.Modular form 7350.2.a.ca
sage: E.q_eigenform(10)