Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 44400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.a1 44400bp1 \([0, -1, 0, -373, -2663]\) \(-899153920/4107\) \(-26284800\) \([]\) \(19584\) \(0.27496\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400.a1 has rank \(1\).

Complex multiplication

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

Modular form 44400.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - 2 q^{11} + q^{13} + 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display