Properties

Label 14157t
Number of curves $1$
Conductor $14157$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 14157t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.t1 14157t1 \([1, -1, 0, -171, -500]\) \(6289657/2197\) \(193795173\) \([]\) \(4320\) \(0.29166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157t1 has rank \(0\).

Complex multiplication

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

Modular form 14157.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + 2 q^{5} + 2 q^{7} - 3 q^{8} + 2 q^{10} + q^{13} + 2 q^{14} - q^{16} + 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display