Properties

Label 227850.go
Number of curves $1$
Conductor $227850$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("go1")
 
E.isogeny_class()
 

Elliptic curves in class 227850.go

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.go1 227850ed1 \([1, 1, 1, -249313, 54016031]\) \(-932288503609/148800000\) \(-273533925000000000\) \([]\) \(2851200\) \(2.0739\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850.go1 has rank \(1\).

Complex multiplication

The elliptic curves in class 227850.go do not have complex multiplication.

Modular form 227850.2.a.go

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} + 3 q^{11} - q^{12} - 2 q^{13} + q^{16} - 4 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display