Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 9196.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9196.b1 | 9196d1 | \([0, -1, 0, -645, 65089]\) | \(-65536/3971\) | \(-1800926395136\) | \([]\) | \(5760\) | \(1.0314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9196.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9196.b do not have complex multiplication.Modular form 9196.2.a.b
sage: E.q_eigenform(10)