Show commands:
SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 50400bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50400.p1 | 50400bu1 | \([0, 0, 0, -75, -5150]\) | \(-200/49\) | \(-11430720000\) | \([]\) | \(28800\) | \(0.60920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50400bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 50400bu do not have complex multiplication.Modular form 50400.2.a.bu
sage: E.q_eigenform(10)