Properties

Label 38829d
Number of curves $1$
Conductor $38829$
CM no
Rank $1$

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

Elliptic curves in class 38829d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38829.e1 38829d1 \([0, -1, 1, 12327, -3373]\) \(32768000/18963\) \(-119872007498187\) \([]\) \(88704\) \(1.3909\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38829d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38829d do not have complex multiplication.

Modular form 38829.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{7} + q^{9} - 3 q^{11} + 2 q^{12} + q^{13} + 4 q^{16} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display