Properties

Label 207214k
Number of curves $1$
Conductor $207214$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 207214k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207214.z1 207214k1 \([1, 0, 0, -910, 6934]\) \(1771561/574\) \(27004335694\) \([]\) \(165888\) \(0.70496\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207214k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 207214k do not have complex multiplication.

Modular form 207214.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - q^{7} + q^{8} - 2 q^{9} + q^{10} + q^{12} - 2 q^{13} - q^{14} + q^{15} + q^{16} - 5 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display