Properties

Label 7728.k
Number of curves $1$
Conductor $7728$
CM no
Rank $0$

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

Elliptic curves in class 7728.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7728.k1 7728c1 \([0, -1, 0, -201, 1173]\) \(-3525581824/23667\) \(-6058752\) \([]\) \(3264\) \(0.13654\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7728.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7728.k do not have complex multiplication.

Modular form 7728.2.a.k

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