Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 85176.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.q1 | 85176r1 | \([0, 0, 0, -402051, -69517474]\) | \(5901506/1701\) | \(2071612928472901632\) | \([]\) | \(1397760\) | \(2.2209\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176.q do not have complex multiplication.Modular form 85176.2.a.q
sage: E.q_eigenform(10)