Show commands:
SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 97020.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97020.ce1 | 97020bb1 | \([0, 0, 0, 1008, -6076]\) | \(47775744/34375\) | \(-81496800000\) | \([]\) | \(76800\) | \(0.78204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97020.ce do not have complex multiplication.Modular form 97020.2.a.ce
sage: E.q_eigenform(10)