Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 171349c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
171349.c1 | 171349c1 | \([1, 1, 0, -5676, 171497]\) | \(-912673/61\) | \(-1352026028869\) | \([]\) | \(299520\) | \(1.0797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 171349c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 171349c do not have complex multiplication.Modular form 171349.2.a.c
sage: E.q_eigenform(10)