Properties

Label 38808.t
Number of curves $1$
Conductor $38808$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 38808.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.t1 38808bz1 \([0, 0, 0, -81291, -7284634]\) \(6902546/1331\) \(11455653161981952\) \([]\) \(241920\) \(1.7986\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38808.t do not have complex multiplication.

Modular form 38808.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + q^{11} + 3 q^{13} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display