Properties

Label 17787.t
Number of curves $1$
Conductor $17787$
CM no
Rank $0$

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

Elliptic curves in class 17787.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17787.t1 17787a1 \([1, 1, 0, 118457, 18006850]\) \(17999471/24057\) \(-245686842692252577\) \([]\) \(282240\) \(2.0227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17787.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17787.t do not have complex multiplication.

Modular form 17787.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + 4 q^{5} - q^{6} - 3 q^{8} + q^{9} + 4 q^{10} + q^{12} - 4 q^{15} - q^{16} + 7 q^{17} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display