Properties

Label 127050.et
Number of curves $1$
Conductor $127050$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("et1")
 
E.isogeny_class()
 

Elliptic curves in class 127050.et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127050.et1 127050dr1 \([1, 0, 1, 74, -6712]\) \(15104375/6453888\) \(-19523011200\) \([]\) \(171360\) \(0.65367\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127050.et1 has rank \(0\).

Complex multiplication

The elliptic curves in class 127050.et do not have complex multiplication.

Modular form 127050.2.a.et

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} + q^{12} + 7 q^{13} - q^{14} + q^{16} - 7 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display