Properties

Label 32487.r
Number of curves $1$
Conductor $32487$
CM no
Rank $0$

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

Elliptic curves in class 32487.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.r1 32487k1 \([0, 1, 1, -695032, -223242449]\) \(6441016595550208/511270461\) \(2947372464843261\) \([]\) \(591360\) \(2.0147\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32487.r do not have complex multiplication.

Modular form 32487.2.a.r

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{5} + 2 q^{6} + q^{9} + 4 q^{10} + 5 q^{11} + 2 q^{12} + q^{13} + 2 q^{15} - 4 q^{16} + q^{17} + 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display