Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 62475.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62475.bj1 | 62475q1 | \([0, -1, 1, -43283, -5109532]\) | \(-4878401536/3346875\) | \(-6152445263671875\) | \([]\) | \(276480\) | \(1.7300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62475.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62475.bj do not have complex multiplication.Modular form 62475.2.a.bj
sage: E.q_eigenform(10)