Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 43120h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43120.s1 43120h1 \([0, -1, 0, -296, 2080]\) \(-57354724/605\) \(-30356480\) \([]\) \(9984\) \(0.25261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43120h1 has rank \(2\).

Complex multiplication

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

Modular form 43120.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - q^{11} - 2 q^{13} + q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display