Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 89280i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
89280.b1 | 89280i1 | \([0, 0, 0, -10994508, 15794537328]\) | \(-28485240894685827/4402018257760\) | \(-22713447315535319531520\) | \([]\) | \(9676800\) | \(3.0187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89280i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 89280i do not have complex multiplication.Modular form 89280.2.a.i
sage: E.q_eigenform(10)