Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 14157.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.i1 14157i1 \([0, 0, 1, -3547236, 2571480535]\) \(-462482914449031168/3326427\) \(-35503916708403\) \([]\) \(248832\) \(2.1969\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157.i1 has rank \(1\).

Complex multiplication

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

Modular form 14157.2.a.i

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