Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 162624.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.q1 | 162624cl1 | \([0, -1, 0, -44911489, 116948338465]\) | \(-178284948703873/1944365472\) | \(-109259523839218635767808\) | \([]\) | \(16727040\) | \(3.2363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624.q do not have complex multiplication.Modular form 162624.2.a.q
sage: E.q_eigenform(10)