Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 127050.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127050.f1 127050i1 \([1, 1, 0, -1575, 8602125]\) \(-25/1848\) \(-31971139921875000\) \([]\) \(1209600\) \(1.8459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127050.f1 has rank \(0\).

Complex multiplication

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

Modular form 127050.2.a.f

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