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SageMath
E = EllipticCurve("oh1")
E.isogeny_class()
Elliptic curves in class 235200.oh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.oh1 | 235200oh1 | \([0, -1, 0, -1520633, -1188899613]\) | \(-1376628736/1366875\) | \(-386108355976875000000\) | \([]\) | \(9031680\) | \(2.6460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.oh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200.oh do not have complex multiplication.Modular form 235200.2.a.oh
sage: E.q_eigenform(10)