Properties

Label 155298z
Number of curves $1$
Conductor $155298$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 155298z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155298.n1 155298z1 \([1, 0, 1, 17373, -9915182]\) \(579941390568768983/42818296134332004\) \(-42818296134332004\) \([]\) \(1976832\) \(1.8709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155298z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155298z do not have complex multiplication.

Modular form 155298.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 3 q^{5} - q^{6} + 3 q^{7} - q^{8} + q^{9} - 3 q^{10} - q^{11} + q^{12} - q^{13} - 3 q^{14} + 3 q^{15} + q^{16} + 6 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display