Properties

Label 37905a
Number of curves $1$
Conductor $37905$
CM no
Rank $0$

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

Elliptic curves in class 37905a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37905.i1 37905a1 \([0, -1, 1, -173761, -22204044]\) \(94633984/19845\) \(121671009886060845\) \([]\) \(372096\) \(1.9932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37905a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37905a do not have complex multiplication.

Modular form 37905.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} - q^{7} + q^{9} - 5 q^{11} + 2 q^{12} + 2 q^{13} + q^{15} + 4 q^{16} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display