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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 9900o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9900.k1 | 9900o1 | \([0, 0, 0, 2400, -28460]\) | \(327680000/264627\) | \(-1234643731200\) | \([]\) | \(8064\) | \(1.0080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9900o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9900o do not have complex multiplication.Modular form 9900.2.a.o
sage: E.q_eigenform(10)