Properties

Label 3651607.a
Number of curves $1$
Conductor $3651607$
CM no
Rank $4$

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

Elliptic curves in class 3651607.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
3651607.a1 \([1, -1, 1, -96, 372]\) \(96892315857/3651607\) \(3651607\) \([]\) \(1359936\) \(0.027713\)

Rank

sage: E.rank()
 

The elliptic curve 3651607.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 3651607.a do not have complex multiplication.

Modular form 3651607.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} - q^{4} - 2 q^{5} + 3 q^{6} - 3 q^{7} + 3 q^{8} + 6 q^{9} + 2 q^{10} - q^{11} + 3 q^{12} - 4 q^{13} + 3 q^{14} + 6 q^{15} - q^{16} - 2 q^{17} - 6 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display