Properties

Label 43190.c
Number of curves $1$
Conductor $43190$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 43190.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.c1 43190a1 \([1, -1, 0, -8650, -307500]\) \(-71581414466974329/431900000\) \(-431900000\) \([]\) \(41600\) \(0.84493\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43190.c do not have complex multiplication.

Modular form 43190.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} - 3 q^{9} + q^{10} + 2 q^{11} + 3 q^{13} - q^{14} + q^{16} - 2 q^{17} + 3 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display