Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 235200f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.f1 | 235200f1 | \([0, -1, 0, -31033, -3457313]\) | \(-1376628736/1366875\) | \(-3281866875000000\) | \([]\) | \(1290240\) | \(1.6731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200f do not have complex multiplication.Modular form 235200.2.a.f
sage: E.q_eigenform(10)