Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 142956.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142956.q1 142956l1 \([0, 0, 0, -17328, -9026444]\) \(-65536/3971\) \(-34864945158599424\) \([]\) \(518400\) \(1.8540\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142956.q1 has rank \(1\).

Complex multiplication

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

Modular form 142956.2.a.q

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