Show commands:
SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 62400.bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.bx1 | 62400fm1 | \([0, -1, 0, -333, -30213]\) | \(-32768/3159\) | \(-394875000000\) | \([]\) | \(57600\) | \(0.90472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.bx do not have complex multiplication.Modular form 62400.2.a.bx
sage: E.q_eigenform(10)