Properties

Label 142956.z
Number of curves $1$
Conductor $142956$
CM no
Rank $1$

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

Elliptic curves in class 142956.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.z1 142956s1 \([0, 0, 0, -605397, 179212313]\) \(16142938449664/214358881\) \(325839248956062864\) \([]\) \(1814400\) \(2.1676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142956.z do not have complex multiplication.

Modular form 142956.2.a.z

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