Properties

Label 76440.k
Number of curves $1$
Conductor $76440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 76440.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.k1 76440a1 \([0, -1, 0, -3201, -73275]\) \(-2458624/195\) \(-287778865920\) \([]\) \(87360\) \(0.94567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76440.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76440.k do not have complex multiplication.

Modular form 76440.2.a.k

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