Properties

Label 43120v
Number of curves $1$
Conductor $43120$
CM no
Rank $1$

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

Elliptic curves in class 43120v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43120.n1 43120v1 \([0, 1, 0, 117640, -8450345]\) \(229651351304189696/172613560719655\) \(-135329031604209520\) \([]\) \(489216\) \(1.9754\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43120v1 has rank \(1\).

Complex multiplication

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

Modular form 43120.2.a.v

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + q^{9} - q^{11} + 3 q^{13} - 2 q^{15} + 2 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display