Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 616.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
616.b1 | 616d1 | \([0, -1, 0, -1, 197]\) | \(-1024/65219\) | \(-16696064\) | \([]\) | \(96\) | \(0.064781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 616.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 616.b do not have complex multiplication.Modular form 616.2.a.b
sage: E.q_eigenform(10)