Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 33810.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33810.b1 | 33810f1 | \([1, 1, 0, 1207, 23493]\) | \(3963575296919/6953610240\) | \(-340726901760\) | \([]\) | \(62400\) | \(0.89773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33810.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 33810.b do not have complex multiplication.Modular form 33810.2.a.b
sage: E.q_eigenform(10)