Properties

Label 32487i
Number of curves $1$
Conductor $32487$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 32487i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.a1 32487i1 \([0, -1, 1, -702, 104852]\) \(-325660672/40000779\) \(-4706051648571\) \([]\) \(105984\) \(1.1111\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487i1 has rank \(2\).

Complex multiplication

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

Modular form 32487.2.a.i

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