Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 14157.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.p1 14157c1 \([0, 0, 1, -198, -1169]\) \(-262766592/28561\) \(-93308787\) \([]\) \(6144\) \(0.26729\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157.p1 has rank \(1\).

Complex multiplication

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

Modular form 14157.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + 4 q^{5} - q^{7} + q^{13} + 4 q^{16} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display