Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 3630.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3630.l1 3630l1 \([1, 0, 1, -17166878, -24498325744]\) \(21571025211960961/2488320000000\) \(64540612383160320000000\) \([]\) \(628320\) \(3.1088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630.l1 has rank \(0\).

Complex multiplication

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

Modular form 3630.2.a.l

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