Properties

Label 1472.k
Number of curves $1$
Conductor $1472$
CM no
Rank $1$

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

Elliptic curves in class 1472.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1472.k1 1472a1 \([0, 1, 0, -17, 23]\) \(-562432/23\) \(-23552\) \([]\) \(128\) \(-0.39355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1472.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1472.k do not have complex multiplication.

Modular form 1472.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} - 4 q^{7} - 2 q^{9} + 2 q^{11} - 7 q^{13} + 2 q^{15} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display