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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 129360.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 129360.q1 | 129360f1 | \([0, -1, 0, -39216, 3830751]\) | \(-1475789056/539055\) | \(-2436315125595120\) | \([]\) | \(645120\) | \(1.6628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129360.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129360.q do not have complex multiplication.Modular form 129360.2.a.q
sage: E.q_eigenform(10)