Properties

Label 104.a
Number of curves $1$
Conductor $104$
CM no
Rank $0$

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

Elliptic curves in class 104.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104.a1 104a1 \([0, 1, 0, -16, -32]\) \(-235298/13\) \(-26624\) \([]\) \(8\) \(-0.39303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 104.a do not have complex multiplication.

Modular form 104.2.a.a

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