Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7728.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7728.l1 7728n1 \([0, -1, 0, -1541, 27693]\) \(-98867482624/20696067\) \(-84771090432\) \([]\) \(12000\) \(0.81867\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7728.l1 has rank \(0\).

Complex multiplication

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

Modular form 7728.2.a.l

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