Properties

Label 487872.fu
Number of curves $1$
Conductor $487872$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 487872.fu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487872.fu1 487872fu1 \([0, 0, 0, -702768, 190684384]\) \(123904/21\) \(6505693728222560256\) \([]\) \(7569408\) \(2.3307\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487872.fu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 487872.fu do not have complex multiplication.

Modular form 487872.2.a.fu

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display