Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 58800.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.i1 | 58800hn1 | \([0, -1, 0, -249958, -48017213]\) | \(-805661175040/729\) | \(-1562793750000\) | \([]\) | \(276480\) | \(1.6381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.i do not have complex multiplication.Modular form 58800.2.a.i
sage: E.q_eigenform(10)