Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 3264.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3264.j1 | 3264q1 | \([0, -1, 0, -6485, 203469]\) | \(-1841198792704/3011499\) | \(-49340399616\) | \([]\) | \(4224\) | \(0.94847\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3264.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3264.j do not have complex multiplication.Modular form 3264.2.a.j
sage: E.q_eigenform(10)