Properties

Label 376712.k
Number of curves $1$
Conductor $376712$
CM no
Rank $2$

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

Elliptic curves in class 376712.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.k1 376712k1 \([0, -1, 0, -15696, 566812]\) \(3844\) \(111258953860096\) \([]\) \(792000\) \(1.4043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712.k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 376712.k do not have complex multiplication.

Modular form 376712.2.a.k

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