Properties

Label 6288.c
Number of curves $1$
Conductor $6288$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 6288.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6288.c1 6288f1 \([0, -1, 0, -264, -3600]\) \(-498677257/1145988\) \(-4693966848\) \([]\) \(4032\) \(0.54423\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6288.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6288.c do not have complex multiplication.

Modular form 6288.2.a.c

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