Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 8085q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8085.o1 | 8085q1 | \([0, 1, 1, -65, 179]\) | \(12845056/165\) | \(396165\) | \([]\) | \(960\) | \(-0.11735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8085q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8085q do not have complex multiplication.Modular form 8085.2.a.q
sage: E.q_eigenform(10)