Properties

Label 248773.c
Number of curves $1$
Conductor $248773$
CM no
Rank $0$

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

Elliptic curves in class 248773.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248773.c1 248773c1 \([0, 0, 1, -343, -2144]\) \(37933056/5077\) \(597303973\) \([]\) \(571392\) \(0.41156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248773.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 248773.c do not have complex multiplication.

Modular form 248773.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 3 q^{3} + 2 q^{4} + 4 q^{5} - 6 q^{6} + 6 q^{9} - 8 q^{10} - 6 q^{11} + 6 q^{12} + 4 q^{13} + 12 q^{15} - 4 q^{16} + 4 q^{17} - 12 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display