Properties

Label 88725.t
Number of curves $1$
Conductor $88725$
CM no
Rank $1$

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

Elliptic curves in class 88725.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88725.t1 88725bs1 \([1, 0, 0, -1415463, -2251556958]\) \(-24606647689/157565625\) \(-2008298763844775390625\) \([]\) \(4492800\) \(2.7711\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88725.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88725.t do not have complex multiplication.

Modular form 88725.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + q^{7} + 3 q^{8} + q^{9} + 3 q^{11} - q^{12} - q^{14} - q^{16} - 8 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display