Properties

Label 482448bh
Number of curves 11
Conductor 482448482448
CM no
Rank 22

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 482448bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
482448.bh1 482448bh1 [0,1,0,28919,1363331][0, 1, 0, 28919, 1363331] 70575104/6173170575104/61731 2339431286747904-2339431286747904 [][] 23654402365440 1.63661.6366 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 482448bh1 has rank 22.

Complex multiplication

The elliptic curves in class 482448bh do not have complex multiplication.

Modular form 482448.2.a.bh

sage: E.q_eigenform(10)
 
q+q3q53q7+q95q112q13q15+q17+q19+O(q20)q + q^{3} - q^{5} - 3 q^{7} + q^{9} - 5 q^{11} - 2 q^{13} - q^{15} + q^{17} + q^{19} + O(q^{20}) Copy content Toggle raw display