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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 80688o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80688.a1 | 80688o1 | \([0, -1, 0, 17931, 2158653]\) | \(32768/123\) | \(-2393140517449728\) | \([]\) | \(483840\) | \(1.6338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80688o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80688o do not have complex multiplication.Modular form 80688.2.a.o
sage: E.q_eigenform(10)