Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 248773b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248773.b1 | 248773b1 | \([0, -1, 1, -54112, -4826606]\) | \(148944426176512/12189877\) | \(1434126839173\) | \([]\) | \(1176576\) | \(1.3774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248773b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248773b do not have complex multiplication.Modular form 248773.2.a.b
sage: E.q_eigenform(10)