Properties

Label 17850t
Number of curves $1$
Conductor $17850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 17850t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17850.w1 17850t1 \([1, 0, 1, -46, -352]\) \(-417267265/1850688\) \(-46267200\) \([]\) \(4320\) \(0.15572\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17850t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17850t do not have complex multiplication.

Modular form 17850.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} - 2 q^{11} + q^{12} - q^{14} + q^{16} - q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display