Properties

Label 43350.cf
Number of curves $1$
Conductor $43350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 43350.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.cf1 43350ck1 \([1, 1, 1, -350563, 189093281]\) \(-43713001/116640\) \(-12713317936222500000\) \([]\) \(881280\) \(2.3533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350.cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43350.cf do not have complex multiplication.

Modular form 43350.2.a.cf

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - q^{7} + q^{8} + q^{9} + q^{11} - q^{12} - 3 q^{13} - q^{14} + q^{16} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display