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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 179088.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.o1 | 179088bd1 | \([0, -1, 0, -48639256, 116870965744]\) | \(3106880453184523246867609/357783940416575730876\) | \(1465483019946294193668096\) | \([]\) | \(23721984\) | \(3.3691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179088.o do not have complex multiplication.Modular form 179088.2.a.o
sage: E.q_eigenform(10)