Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 338130f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.f1 | 338130f1 | \([1, -1, 0, -3331935, -2502523679]\) | \(-804441463921/66832740\) | \(-339866348867557969860\) | \([]\) | \(16450560\) | \(2.6851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130f do not have complex multiplication.Modular form 338130.2.a.f
sage: E.q_eigenform(10)