Properties

Label 34928f
Number of curves $1$
Conductor $34928$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 34928f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34928.c1 34928f1 \([0, 0, 0, -1, -9]\) \(-6912/2183\) \(-34928\) \([]\) \(1824\) \(-0.44906\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34928f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 34928f do not have complex multiplication.

Modular form 34928.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + q^{7} - 3 q^{9} + 4 q^{11} - q^{13} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display