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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 96600.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.o1 | 96600v1 | \([0, -1, 0, 1717, 59112]\) | \(55947622400/186264603\) | \(-1862646030000\) | \([]\) | \(133056\) | \(1.0375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96600.o do not have complex multiplication.Modular form 96600.2.a.o
sage: E.q_eigenform(10)