Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 864i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
864.a1 | 864i1 | \([0, 0, 0, -216, -1296]\) | \(-13824\) | \(-80621568\) | \([]\) | \(288\) | \(0.26670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 864i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 864i do not have complex multiplication.Modular form 864.2.a.i
sage: E.q_eigenform(10)