Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 2646.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.i1 | 2646m1 | \([1, -1, 0, -9, -1359]\) | \(-3/28\) | \(-800483796\) | \([]\) | \(1152\) | \(0.38731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2646.i do not have complex multiplication.Modular form 2646.2.a.i
sage: E.q_eigenform(10)