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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 38808s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.y1 | 38808s1 | \([0, 0, 0, 116277, -1731121]\) | \(369381632/216513\) | \(-101909307096528624\) | \([]\) | \(258048\) | \(1.9530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808s do not have complex multiplication.Modular form 38808.2.a.s
sage: E.q_eigenform(10)