Properties

Label 30064a
Number of curves 11
Conductor 3006430064
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 30064a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30064.e1 30064a1 [0,0,0,1031,12742][0, 0, 0, -1031, 12742] 473434325712/1879-473434325712/1879 481024-481024 [][] 66566656 0.302220.30222 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30064a1 has rank 11.

Complex multiplication

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

Modular form 30064.2.a.a

sage: E.q_eigenform(10)
 
q+3q5q73q92q11+2q13+5q17+2q19+O(q20)q + 3 q^{5} - q^{7} - 3 q^{9} - 2 q^{11} + 2 q^{13} + 5 q^{17} + 2 q^{19} + O(q^{20}) Copy content Toggle raw display