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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 179088.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179088.s1 | 179088bg1 | \([0, -1, 0, -606856, -181480208]\) | \(6034224034719280009/10659567050496\) | \(43661586638831616\) | \([]\) | \(2076672\) | \(2.0859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179088.s do not have complex multiplication.Modular form 179088.2.a.s
sage: E.q_eigenform(10)