Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 819.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
819.f1 | 819c1 | \([0, 0, 1, 9, -7]\) | \(110592/91\) | \(-66339\) | \([]\) | \(128\) | \(-0.38702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 819.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 819.f do not have complex multiplication.Modular form 819.2.a.f
sage: E.q_eigenform(10)