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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 180336.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 180336.x1 | 180336bk1 | \([0, -1, 0, -425787334560, 105421296634562304]\) | \(298779371619116129414560801/4874288601508740071424\) | \(139271598004453692947541358452670464\) | \([]\) | \(2139395328\) | \(5.5427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180336.x do not have complex multiplication.Modular form 180336.2.a.x
sage: E.q_eigenform(10)