Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 17787.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17787.c1 17787l1 \([0, -1, 1, -13834, 249402]\) \(495616/243\) \(143568569901141\) \([]\) \(107520\) \(1.4098\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17787.c1 has rank \(1\).

Complex multiplication

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

Modular form 17787.2.a.c

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