Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 32487.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.l1 32487h1 \([0, -1, 1, -125652, -15136549]\) \(776703004672/97144749\) \(27440987162817501\) \([]\) \(592704\) \(1.8838\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487.l1 has rank \(0\).

Complex multiplication

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

Modular form 32487.2.a.l

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + 2 q^{5} - 2 q^{6} + q^{9} + 4 q^{10} - 5 q^{11} - 2 q^{12} + q^{13} - 2 q^{15} - 4 q^{16} + q^{17} + 2 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display