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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 129285.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129285.o1 | 129285f1 | \([0, 0, 1, 13182, -449836]\) | \(11501568/10625\) | \(-234012750586875\) | \([]\) | \(259584\) | \(1.4445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129285.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129285.o do not have complex multiplication.Modular form 129285.2.a.o
sage: E.q_eigenform(10)