Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 6936.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6936.j1 | 6936q1 | \([0, 1, 0, -3275, -78426]\) | \(-34816/3\) | \(-334836357168\) | \([]\) | \(12240\) | \(0.95589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6936.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6936.j do not have complex multiplication.Modular form 6936.2.a.j
sage: E.q_eigenform(10)