Show commands:
SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 257600bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.bu1 | 257600bu1 | \([0, -1, 0, -347333, 196275037]\) | \(-144814859264/435654247\) | \(-13940935904000000000\) | \([]\) | \(4157440\) | \(2.3602\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257600bu do not have complex multiplication.Modular form 257600.2.a.bu
sage: E.q_eigenform(10)