Show commands for:
SageMath
sage: E = EllipticCurve("bd1")
sage: E.isogeny_class()
Elliptic curves in class 15680.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15680.bd1 | 15680o1 | \([0, -1, 0, -751, -9379]\) | \(-6229504/1715\) | \(-12913154240\) | \([]\) | \(9216\) | \(0.65599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680.bd do not have complex multiplication.Modular form 15680.2.a.bd
sage: E.q_eigenform(10)