Properties

Label 3610c
Number of curves $1$
Conductor $3610$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 3610c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3610.e1 3610c1 \([1, -1, 0, -17215, -924019]\) \(-11993263569/972800\) \(-45766233036800\) \([]\) \(31680\) \(1.3674\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3610c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3610c do not have complex multiplication.

Modular form 3610.2.a.c

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