Properties

Label 142912k
Number of curves $1$
Conductor $142912$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 142912k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.w1 142912k1 \([0, -1, 0, -1177, 14897]\) \(176247139072/13239457\) \(13557203968\) \([]\) \(96768\) \(0.68952\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142912k do not have complex multiplication.

Modular form 142912.2.a.k

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