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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 116160z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116160.j1 | 116160z1 | \([0, -1, 0, -9080001, 9426325185]\) | \(21571025211960961/2488320000000\) | \(9550297332449280000000\) | \([]\) | \(10967040\) | \(2.9496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116160z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116160z do not have complex multiplication.Modular form 116160.2.a.z
sage: E.q_eigenform(10)