Properties

Label 54150.r
Number of curves $1$
Conductor $54150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 54150.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54150.r1 54150bk1 \([1, 0, 1, -132951, -19037702]\) \(-1843005386785/42467328\) \(-5988556800000000\) \([]\) \(492480\) \(1.8148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54150.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54150.r do not have complex multiplication.

Modular form 54150.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 2 q^{7} - q^{8} + q^{9} - 3 q^{11} + q^{12} + 2 q^{14} + q^{16} - 7 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display