Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 44400.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.l1 44400bt1 \([0, -1, 0, -2332208, 1372542912]\) \(-175362106452317/131292576\) \(-1050340608000000000\) \([]\) \(691200\) \(2.3912\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400.l1 has rank \(1\).

Complex multiplication

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

Modular form 44400.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 5 q^{11} + q^{17} + O(q^{20})\) Copy content Toggle raw display