Properties

Label 177870fu
Number of curves $1$
Conductor $177870$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fu1")
 
E.isogeny_class()
 

Elliptic curves in class 177870fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177870.di1 177870fu1 \([1, 0, 1, -213568, 38416046]\) \(-105484561/1440\) \(-14706283139079840\) \([]\) \(2402400\) \(1.9091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177870fu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 177870fu do not have complex multiplication.

Modular form 177870.2.a.fu

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} + q^{9} - q^{10} + q^{12} - 7 q^{13} + q^{15} + q^{16} + 4 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display