Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 96192.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96192.i1 | 96192x1 | \([0, 0, 0, -1879788, 993423184]\) | \(-3843995587427449/6390046584\) | \(-1221156918981033984\) | \([]\) | \(1548288\) | \(2.3664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96192.i do not have complex multiplication.Modular form 96192.2.a.i
sage: E.q_eigenform(10)