Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2601.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2601.b1 | 2601d1 | \([0, 0, 1, -867, 11054]\) | \(-110592/17\) | \(-11079144171\) | \([]\) | \(2304\) | \(0.65638\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2601.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2601.b do not have complex multiplication.Modular form 2601.2.a.b
sage: E.q_eigenform(10)