Properties

Label 1917.a
Number of curves $1$
Conductor $1917$
CM no
Rank $2$

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

Elliptic curves in class 1917.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1917.a1 1917c1 \([1, -1, 1, -41, 110]\) \(-30654939/71\) \(-17253\) \([]\) \(216\) \(-0.30612\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1917.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1917.a do not have complex multiplication.

Modular form 1917.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 2 q^{5} - 4 q^{7} + 3 q^{8} + 2 q^{10} - 6 q^{11} - 2 q^{13} + 4 q^{14} - q^{16} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display