Properties

Label 13530.t
Number of curves 11
Conductor 1353013530
CM no
Rank 11

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

Elliptic curves in class 13530.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13530.t1 13530t1 [1,0,0,54,540][1, 0, 0, 54, 540] 17394111071/13394700017394111071/133947000 133947000-133947000 [][] 43204320 0.240910.24091 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13530.t1 has rank 11.

Complex multiplication

The elliptic curves in class 13530.t do not have complex multiplication.

Modular form 13530.2.a.t

sage: E.q_eigenform(10)
 
q+q2+q3+q4q5+q6+q7+q8+q9q10q11+q12+q14q15+q164q17+q185q19+O(q20)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + q^{8} + q^{9} - q^{10} - q^{11} + q^{12} + q^{14} - q^{15} + q^{16} - 4 q^{17} + q^{18} - 5 q^{19} + O(q^{20}) Copy content Toggle raw display