Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 90160bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90160.bj1 | 90160bd1 | \([0, -1, 0, -45880, 3806447]\) | \(-5674076449024/14904575\) | \(-28056133506800\) | \([]\) | \(258048\) | \(1.4557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90160bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 90160bd do not have complex multiplication.Modular form 90160.2.a.bd
sage: E.q_eigenform(10)