Properties

Label 47190.c
Number of curves $1$
Conductor $47190$
CM no
Rank $0$

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

Elliptic curves in class 47190.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47190.c1 47190a1 \([1, 1, 0, 8347, -3444393]\) \(27270901/2193750\) \(-5172747747131250\) \([]\) \(348480\) \(1.6947\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47190.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47190.c do not have complex multiplication.

Modular form 47190.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - q^{12} + q^{13} - q^{14} + q^{15} + q^{16} + 2q^{17} - q^{18} - 7q^{19} + O(q^{20})\)  Toggle raw display