Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 54150.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54150.a1 54150n1 \([1, 1, 0, -185200, -32038400]\) \(-23891790625/1181952\) \(-34753733212320000\) \([]\) \(691200\) \(1.9353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54150.a1 has rank \(1\).

Complex multiplication

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

Modular form 54150.2.a.a

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