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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 179520.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.s1 | 179520dq1 | \([0, -1, 0, 4159, 612705]\) | \(60684268318/1278028125\) | \(-167513702400000\) | \([]\) | \(465920\) | \(1.4097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520.s do not have complex multiplication.Modular form 179520.2.a.s
sage: E.q_eigenform(10)