Properties

Label 324928.d
Number of curves $1$
Conductor $324928$
CM no
Rank $1$

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

Elliptic curves in class 324928.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324928.d1 324928d1 \([0, -1, 0, -437, -3347]\) \(564600832/5077\) \(83181568\) \([]\) \(76800\) \(0.34246\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324928.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 324928.d do not have complex multiplication.

Modular form 324928.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - 2 q^{9} + 4 q^{11} + 2 q^{13} - 2 q^{15} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display