Properties

Label 3822.m
Number of curves $1$
Conductor $3822$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 3822.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3822.m1 3822o1 \([1, 0, 1, -3099, -66650]\) \(-9591639636223/843648\) \(-289371264\) \([]\) \(4032\) \(0.66460\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3822.m1 has rank \(0\).

Complex multiplication

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

Modular form 3822.2.a.m

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