Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 63525.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63525.a1 | 63525j1 | \([0, -1, 1, -382158, -91100032]\) | \(-222985990144/841995\) | \(-23306961003046875\) | \([]\) | \(967680\) | \(2.0000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63525.a do not have complex multiplication.Modular form 63525.2.a.a
sage: E.q_eigenform(10)