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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 166410.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.o1 | 166410ci1 | \([1, -1, 0, -37434, 2796980]\) | \(116205924655827/5242880\) | \(261740298240\) | \([]\) | \(672000\) | \(1.2674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166410.o do not have complex multiplication.Modular form 166410.2.a.o
sage: E.q_eigenform(10)