Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 333270.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.f1 | 333270f1 | \([1, -1, 0, -19808597655, -1412114152496099]\) | \(-28462891429373441569/12053081880000000\) | \(-364002188980759336952907480000000\) | \([]\) | \(1638088704\) | \(4.9557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.f do not have complex multiplication.Modular form 333270.2.a.f
sage: E.q_eigenform(10)