Show commands:
SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 32340.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.bd1 | 32340x1 | \([0, 1, 0, -4916, -199116]\) | \(-21380386384/15035625\) | \(-9241737120000\) | \([]\) | \(80640\) | \(1.1879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32340.bd do not have complex multiplication.Modular form 32340.2.a.bd
sage: E.q_eigenform(10)