Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 85544.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85544.b1 | 85544a1 | \([0, 1, 0, -2697, 47867]\) | \(351232/37\) | \(228631053568\) | \([]\) | \(78848\) | \(0.91437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85544.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 85544.b do not have complex multiplication.Modular form 85544.2.a.b
sage: E.q_eigenform(10)