Show commands for:
SageMath
sage: E = EllipticCurve("bc1")
sage: E.isogeny_class()
Elliptic curves in class 15680bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 15680.c1 | 15680bc1 | [0, 0, 0, 366422, 83755798] | [] | 506880 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680bc do not have complex multiplication.Modular form 15680.2.a.bc
sage: E.q_eigenform(10)