Properties

Label 14157.k
Number of curves $1$
Conductor $14157$
CM no
Rank $1$

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

Elliptic curves in class 14157.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.k1 14157h1 \([0, 0, 1, -7986, -508775]\) \(-360448/507\) \(-79227685494243\) \([]\) \(33792\) \(1.3592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14157.k do not have complex multiplication.

Modular form 14157.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - 2 q^{5} + 3 q^{7} - q^{13} + 4 q^{16} - 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display