Properties

Label 76440k
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 76440k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76440.c1 76440k1 \([0, -1, 0, -5161, -217139]\) \(-504871936/394875\) \(-11892902112000\) \([]\) \(158400\) \(1.2076\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 76440.2.a.k

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