Properties

Label 3872g
Number of curves 11
Conductor 38723872
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 3872g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3872.a1 3872g1 [0,0,0,968,149072][0, 0, 0, 968, -149072] 13824/133113824/1331 9658153742336-9658153742336 [][] 1152011520 1.17101.1710 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3872g1 has rank 00.

Complex multiplication

The elliptic curves in class 3872g do not have complex multiplication.

Modular form 3872.2.a.g

sage: E.q_eigenform(10)
 
q3q3+q5+6q9+6q133q15+4q17+6q19+O(q20)q - 3 q^{3} + q^{5} + 6 q^{9} + 6 q^{13} - 3 q^{15} + 4 q^{17} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display