Properties

Label 3200.s
Number of curves $1$
Conductor $3200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 3200.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3200.s1 3200z1 \([0, 1, 0, 42, 338]\) \(160\) \(-50000000\) \([]\) \(480\) \(0.15913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3200.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3200.s do not have complex multiplication.

Modular form 3200.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + q^{11} - 2 q^{13} - 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display