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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 348726s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.s1 | 348726s1 | \([1, 0, 1, -55507, -2568274]\) | \(52390015823664577/22453392592512\) | \(8105674725896832\) | \([]\) | \(2661120\) | \(1.7491\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726s do not have complex multiplication.Modular form 348726.2.a.s
sage: E.q_eigenform(10)