Properties

Label 118354.t
Number of curves $1$
Conductor $118354$
CM no
Rank $0$

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

Elliptic curves in class 118354.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.t1 118354l1 \([1, 0, 0, -11342911, 14703822949]\) \(-18630700451/1156\) \(-10014423166365109484\) \([]\) \(4304640\) \(2.7053\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 118354.t do not have complex multiplication.

Modular form 118354.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - 3 q^{7} + q^{8} - 2 q^{9} - q^{10} + q^{12} + 4 q^{13} - 3 q^{14} - q^{15} + q^{16} - q^{17} - 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display