Properties

Label 112530bt
Number of curves $1$
Conductor $112530$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 112530bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112530.bu1 112530bt1 \([1, 1, 1, -24626, 1669823]\) \(-932288503609/148800000\) \(-263608276800000\) \([]\) \(486000\) \(1.4952\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112530bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 112530bt do not have complex multiplication.

Modular form 112530.2.a.bt

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