Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 12882.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12882.j1 | 12882j1 | \([1, 1, 1, -419, -3463]\) | \(8136367582897/37563912\) | \(37563912\) | \([]\) | \(4704\) | \(0.30398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12882.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12882.j do not have complex multiplication.Modular form 12882.2.a.j
sage: E.q_eigenform(10)