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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 47432s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.z1 | 47432s1 | \([0, 0, 0, -10695916, 13478680292]\) | \(-1905527808/2401\) | \(-170511836452915215104\) | \([]\) | \(5271552\) | \(2.7908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47432s do not have complex multiplication.Modular form 47432.2.a.s
sage: E.q_eigenform(10)