Show commands:
SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 97104.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.cv1 | 97104cn1 | \([0, 1, 0, 8383216, -3989837292]\) | \(2280364702703/1560674304\) | \(-44592682553776111878144\) | \([]\) | \(9987840\) | \(3.0346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104.cv do not have complex multiplication.Modular form 97104.2.a.cv
sage: E.q_eigenform(10)