Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7728.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7728.f1 7728d1 \([0, -1, 0, 7, -459]\) \(128000/352107\) \(-90139392\) \([]\) \(2240\) \(0.20535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7728.f1 has rank \(0\).

Complex multiplication

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

Modular form 7728.2.a.f

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