Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 43350.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.v1 43350h1 \([1, 1, 0, 57225, 27055125]\) \(4589352212399/72559411200\) \(-327651091200000000\) \([]\) \(532224\) \(2.0415\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350.v1 has rank \(1\).

Complex multiplication

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

Modular form 43350.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + 3 q^{7} - q^{8} + q^{9} + 2 q^{11} - q^{12} - q^{13} - 3 q^{14} + q^{16} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display