Properties

Label 43120ci
Number of curves $1$
Conductor $43120$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 43120ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43120.b1 43120ci1 \([0, 0, 0, -31507, 225106]\) \(351716516361/201313750\) \(1979819269120000\) \([]\) \(391680\) \(1.6249\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43120ci1 has rank \(2\).

Complex multiplication

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

Modular form 43120.2.a.ci

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