Properties

Label 174845o
Number of curves $1$
Conductor $174845$
CM no
Rank $0$

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

Elliptic curves in class 174845o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
174845.o1 174845o1 \([1, -1, 1, -3378, 164662]\) \(-1459161/3125\) \(-9127018278125\) \([]\) \(622080\) \(1.1758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 174845o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 174845o do not have complex multiplication.

Modular form 174845.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} - q^{4} - q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} + 6 q^{9} + q^{10} - 3 q^{12} + 4 q^{13} - 3 q^{14} - 3 q^{15} - q^{16} - 6 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display