Properties

Label 43120ca
Number of curves $1$
Conductor $43120$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 43120ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43120.a1 43120ca1 \([0, 0, 0, -391363, 113716162]\) \(-5729578281/1512500\) \(-1749990662604800000\) \([]\) \(1532160\) \(2.2172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43120ca1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43120ca do not have complex multiplication.

Modular form 43120.2.a.ca

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + 6 q^{9} + q^{11} + 6 q^{13} + 3 q^{15} + 8 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display