Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 393129a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.a1 | 393129a1 | \([0, 0, 1, 1441473, -125528274]\) | \(45056/27\) | \(-198497197473421545963\) | \([]\) | \(22296384\) | \(2.5841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 393129a do not have complex multiplication.Modular form 393129.2.a.a
sage: E.q_eigenform(10)