Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 32487.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.m1 32487a1 \([0, -1, 1, -702, 7391]\) \(15957372928/17901\) \(42980301\) \([]\) \(16896\) \(0.37871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487.m1 has rank \(1\).

Complex multiplication

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

Modular form 32487.2.a.m

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