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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 1638s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1638.q1 | 1638s1 | \([1, -1, 1, -200, -23669]\) | \(-1207949625/332678528\) | \(-242522646912\) | \([]\) | \(1960\) | \(0.86374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1638s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1638s do not have complex multiplication.Modular form 1638.2.a.s
sage: E.q_eigenform(10)