Properties

Label 44400bn
Number of curves $1$
Conductor $44400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 44400bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.e1 44400bn1 \([0, -1, 0, -30208, -2041088]\) \(-76215625/1332\) \(-53280000000000\) \([]\) \(195840\) \(1.4314\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400bn1 has rank \(1\).

Complex multiplication

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

Modular form 44400.2.a.bn

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + 2 q^{11} + 4 q^{13} + 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display