Properties

Label 3630.b
Number of curves $1$
Conductor $3630$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3630.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3630.b1 3630b1 [1, 1, 0, -4963, -55667] [] 11616 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3630.b do not have complex multiplication.

Modular form 3630.2.a.b

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