Show commands:
SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 453152.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.bp1 | 453152bp1 | \([0, -1, 0, -4720, 1089348]\) | \(-392/17\) | \(-504434254782976\) | \([]\) | \(1161216\) | \(1.5013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 453152.bp do not have complex multiplication.Modular form 453152.2.a.bp
sage: E.q_eigenform(10)