Properties

Label 43350ct
Number of curves $1$
Conductor $43350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 43350ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.dg1 43350ct1 \([1, 0, 0, -1213, 38417]\) \(-43713001/116640\) \(-526702500000\) \([]\) \(51840\) \(0.93664\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350ct1 has rank \(1\).

Complex multiplication

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

Modular form 43350.2.a.ct

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