Properties

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

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

Elliptic curves in class 3630.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3630.c1 3630a1 [1, 1, 0, -783, -8763] [] 2400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630.c1 has rank \(0\).

Complex multiplication

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

Modular form 3630.2.a.c

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