Properties

Label 7605.a
Number of curves 11
Conductor 76057605
CM no
Rank 11

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

Elliptic curves in class 7605.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7605.a1 7605t1 [0,0,1,46137,3934278][0, 0, 1, -46137, -3934278] 18264064/675-18264064/675 401400694536075-401400694536075 [][] 5990459904 1.57311.5731 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7605.a1 has rank 11.

Complex multiplication

The elliptic curves in class 7605.a do not have complex multiplication.

Modular form 7605.2.a.a

sage: E.q_eigenform(10)
 
q2q2+2q4+q5+5q72q102q1110q144q162q17+O(q20)q - 2 q^{2} + 2 q^{4} + q^{5} + 5 q^{7} - 2 q^{10} - 2 q^{11} - 10 q^{14} - 4 q^{16} - 2 q^{17} + O(q^{20}) Copy content Toggle raw display