Properties

Label 110400fx
Number of curves $1$
Conductor $110400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("fx1")
 
E.isogeny_class()
 

Elliptic curves in class 110400fx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.z1 110400fx1 \([0, -1, 0, -113, 177]\) \(393040/207\) \(84787200\) \([]\) \(27648\) \(0.21292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400fx1 has rank \(2\).

Complex multiplication

The elliptic curves in class 110400fx do not have complex multiplication.

Modular form 110400.2.a.fx

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + q^{11} + q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display