Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 163254.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.c1 | 163254cw1 | \([1, 1, 0, -276, 1656]\) | \(-13836319393/11592\) | \(-1959048\) | \([]\) | \(69120\) | \(0.13520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163254.c do not have complex multiplication.Modular form 163254.2.a.c
sage: E.q_eigenform(10)