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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 9200n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9200.d1 | 9200n1 | \([0, 1, 0, 167, -5037]\) | \(1024/23\) | \(-11500000000\) | \([]\) | \(7040\) | \(0.61073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9200n do not have complex multiplication.Modular form 9200.2.a.n
sage: E.q_eigenform(10)