Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 14157.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.b1 14157v1 \([0, 0, 1, -1289739, 563887134]\) \(-1518309117952/369603\) \(-57756982725303147\) \([]\) \(295680\) \(2.2048\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157.b1 has rank \(0\).

Complex multiplication

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

Modular form 14157.2.a.b

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