Properties

Label 44400.z
Number of curves $1$
Conductor $44400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 44400.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.z1 44400bq1 \([0, -1, 0, -453, -10323]\) \(-20123648/80919\) \(-41430528000\) \([]\) \(22400\) \(0.72260\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44400.z do not have complex multiplication.

Modular form 44400.2.a.z

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