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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 71058.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71058.o1 | 71058n1 | \([1, 0, 0, -89, 297]\) | \(78018694417/5116176\) | \(5116176\) | \([]\) | \(16128\) | \(0.037062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71058.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71058.o do not have complex multiplication.Modular form 71058.2.a.o
sage: E.q_eigenform(10)