Properties

Label 32490o
Number of curves $1$
Conductor $32490$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 32490o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32490.r1 32490o1 \([1, -1, 0, -16630074, -26270905932]\) \(-41081844659329/314572800\) \(-3894731328262452019200\) \([]\) \(2407680\) \(2.9726\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32490o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32490o do not have complex multiplication.

Modular form 32490.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - 2 q^{11} - 3 q^{13} + q^{14} + q^{16} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display