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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 17182.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17182.j1 | 17182i1 | \([1, -1, 1, -317769, -68583479]\) | \(2003092024307193/9529458688\) | \(16882017362771968\) | \([]\) | \(349920\) | \(1.9630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17182.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17182.j do not have complex multiplication.Modular form 17182.2.a.j
sage: E.q_eigenform(10)