Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 8016i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8016.j1 | 8016i1 | \([0, 1, 0, 9016, -101772]\) | \(19785968032823/12608077824\) | \(-51642686767104\) | \([]\) | \(26496\) | \(1.3203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8016i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8016i do not have complex multiplication.Modular form 8016.2.a.i
sage: E.q_eigenform(10)