Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 32487.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.g1 32487e1 \([0, -1, 1, -905, 11150]\) \(-239251750912/9771957\) \(-3351781251\) \([]\) \(20992\) \(0.59531\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487.g1 has rank \(1\).

Complex multiplication

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

Modular form 32487.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{5} + q^{9} + 6 q^{11} + 2 q^{12} - q^{13} - q^{15} + 4 q^{16} + q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display