Properties

Label 3267.k
Number of curves $1$
Conductor $3267$
CM no
Rank $1$

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

Elliptic curves in class 3267.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3267.k1 3267j1 \([0, 0, 1, -9801, -386323]\) \(-2985984/121\) \(-4219225854723\) \([]\) \(8640\) \(1.1904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3267.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3267.k do not have complex multiplication.

Modular form 3267.2.a.k

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 2 q^{5} - q^{7} - 4 q^{10} + 5 q^{13} - 2 q^{14} - 4 q^{16} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display