Properties

Label 3200.r
Number of curves $1$
Conductor $3200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 3200.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3200.r1 3200s1 \([0, 1, 0, 2, -2]\) \(160\) \(-3200\) \([]\) \(96\) \(-0.64559\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3200.r1 has rank \(0\).

Complex multiplication

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

Modular form 3200.2.a.r

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