Properties

Label 124545.bm
Number of curves $1$
Conductor $124545$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 124545.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124545.bm1 124545r1 \([0, -1, 1, -36220, -3003537]\) \(-111701610496/18862875\) \(-887420572567875\) \([]\) \(1368576\) \(1.5950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124545.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 124545.bm do not have complex multiplication.

Modular form 124545.2.a.bm

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} + q^{5} - 2 q^{6} - 5 q^{7} + q^{9} + 2 q^{10} - 2 q^{11} - 2 q^{12} + 6 q^{13} - 10 q^{14} - q^{15} - 4 q^{16} + q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display