Properties

Label 3822.c
Number of curves $1$
Conductor $3822$
CM no
Rank $1$

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

Elliptic curves in class 3822.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3822.c1 3822b1 \([1, 1, 0, 24, 36]\) \(596183/468\) \(-1123668\) \([]\) \(576\) \(-0.15101\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3822.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3822.c do not have complex multiplication.

Modular form 3822.2.a.c

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