Properties

Label 184525c
Number of curves $1$
Conductor $184525$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 184525c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
184525.c1 184525c1 \([1, 1, 1, -6113, -196844]\) \(-912673/61\) \(-1688519078125\) \([]\) \(257040\) \(1.0982\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 184525c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 184525c do not have complex multiplication.

Modular form 184525.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + 2 q^{3} - q^{4} - 2 q^{6} + q^{7} + 3 q^{8} + q^{9} - 2 q^{12} + q^{13} - q^{14} - q^{16} + 4 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display