Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 171941.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
171941.f1 | 171941f1 | \([0, 1, 1, -1976, -44852]\) | \(-495616/203\) | \(-349667298827\) | \([]\) | \(377856\) | \(0.92338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 171941.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 171941.f do not have complex multiplication.Modular form 171941.2.a.f
sage: E.q_eigenform(10)