Properties

Label 88935t
Number of curves $1$
Conductor $88935$
CM no
Rank $1$

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

Elliptic curves in class 88935t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.a1 88935t1 \([0, -1, 1, -1976, -28414]\) \(9834496/1485\) \(128907636165\) \([]\) \(138240\) \(0.85592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88935t do not have complex multiplication.

Modular form 88935.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} - q^{5} + 2 q^{6} + q^{9} + 2 q^{10} - 2 q^{12} - 5 q^{13} + q^{15} - 4 q^{16} - 4 q^{17} - 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display