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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 32200s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32200.q1 | 32200s1 | \([0, 1, 0, 3992, -26387]\) | \(28134973184/17609375\) | \(-4402343750000\) | \([]\) | \(46080\) | \(1.1152\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32200s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32200s do not have complex multiplication.Modular form 32200.2.a.s
sage: E.q_eigenform(10)