Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 14157q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14157.o1 14157q1 \([0, 0, 1, -1452, -77531]\) \(-262144/1859\) \(-2400838954371\) \([]\) \(14400\) \(1.0588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14157q1 has rank \(0\).

Complex multiplication

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

Modular form 14157.2.a.q

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