Properties

Label 350064k
Number of curves $1$
Conductor $350064$
CM no
Rank $1$

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

Elliptic curves in class 350064k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350064.k1 350064k1 \([0, 0, 0, 789, 127514]\) \(18191447/2362932\) \(-7055677145088\) \([]\) \(460800\) \(1.1447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350064k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350064k do not have complex multiplication.

Modular form 350064.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} + q^{11} - q^{13} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display