Properties

Label 14157o
Number of curves $1$
Conductor $14157$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 14157o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.v1 14157o1 \([0, 0, 1, -10659, -423657]\) \(-1518309117952/369603\) \(-32602311027\) \([]\) \(26880\) \(1.0058\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157o1 has rank \(1\).

Complex multiplication

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

Modular form 14157.2.a.o

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