Properties

Label 38088.m
Number of curves $1$
Conductor $38088$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 38088.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38088.m1 38088ba1 \([0, 0, 0, -20631, 1180199]\) \(-562432/23\) \(-39713884013808\) \([]\) \(126720\) \(1.3769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38088.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38088.m do not have complex multiplication.

Modular form 38088.2.a.m

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 4 q^{7} - 2 q^{11} + 7 q^{13} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display