Properties

Label 30064g
Number of curves 11
Conductor 3006430064
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 30064g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30064.i1 30064g1 [0,1,0,2160,41536][0, -1, 0, -2160, -41536] 272223782641/30785536-272223782641/30785536 126097555456-126097555456 [][] 3225632256 0.866960.86696 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30064g1 has rank 00.

Complex multiplication

The elliptic curves in class 30064g do not have complex multiplication.

Modular form 30064.2.a.g

sage: E.q_eigenform(10)
 
q+2q3+q5+q7+q9+6q11+2q13+2q15+5q17+O(q20)q + 2 q^{3} + q^{5} + q^{7} + q^{9} + 6 q^{11} + 2 q^{13} + 2 q^{15} + 5 q^{17} + O(q^{20}) Copy content Toggle raw display