Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 28050.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.i1 | 28050v1 | \([1, 1, 0, -11325, -468675]\) | \(-257050376715625/28435968\) | \(-17772480000\) | \([]\) | \(54432\) | \(0.99574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28050.i do not have complex multiplication.Modular form 28050.2.a.i
sage: E.q_eigenform(10)