Properties

Label 43350bm
Number of curves $1$
Conductor $43350$
CM no
Rank $1$

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

Elliptic curves in class 43350bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.bc1 43350bm1 \([1, 0, 1, 16537874, 132806063648]\) \(4589352212399/72559411200\) \(-7908700821765292800000000\) \([]\) \(9047808\) \(3.4581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43350bm do not have complex multiplication.

Modular form 43350.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 3 q^{7} - q^{8} + q^{9} - 2 q^{11} + q^{12} - q^{13} + 3 q^{14} + q^{16} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display