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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 348726cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.cy1 | 348726cy1 | \([1, 0, 0, -1852479, 975092121]\) | \(-14943832855786297/85501108224\) | \(-4022474962874425344\) | \([]\) | \(11232000\) | \(2.4116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726cy do not have complex multiplication.Modular form 348726.2.a.cy
sage: E.q_eigenform(10)