Properties

Label 3844d
Number of curves $1$
Conductor $3844$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 3844d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3844.a1 3844d1 \([0, 1, 0, -10, -39]\) \(-256\) \(-476656\) \([]\) \(384\) \(-0.22500\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3844d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3844d do not have complex multiplication.

Modular form 3844.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} - q^{7} + q^{9} + 4 q^{11} - 2 q^{13} - 2 q^{15} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display