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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 161700eg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.ba1 | 161700eg1 | \([0, -1, 0, 7292, -166088]\) | \(350000/297\) | \(-36382500000000\) | \([]\) | \(349920\) | \(1.2897\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700eg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700eg do not have complex multiplication.Modular form 161700.2.a.eg
sage: E.q_eigenform(10)