Properties

Label 215475bx
Number of curves $1$
Conductor $215475$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("bx1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 215475bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215475.ca1 215475bx1 \([0, 1, 1, -238008, -79580731]\) \(-692224/867\) \(-1867551756766921875\) \([]\) \(5441280\) \(2.1993\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215475bx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215475bx do not have complex multiplication.

Modular form 215475.2.a.bx

sage: E.q_eigenform(10)
 
\(q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} - 3q^{7} + q^{9} - 4q^{11} + 2q^{12} - 6q^{14} - 4q^{16} - q^{17} + 2q^{18} + 4q^{19} + O(q^{20})\)  Toggle raw display