Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 35234.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35234.f1 | 35234d1 | \([1, 1, 1, -6480, 192049]\) | \(30092129251441921/1029856559104\) | \(1029856559104\) | \([]\) | \(57888\) | \(1.0769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35234.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 35234.f do not have complex multiplication.Modular form 35234.2.a.f
sage: E.q_eigenform(10)