Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 3822.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3822.d1 3822g1 \([1, 1, 0, 332, -7496]\) \(11743520417/80199288\) \(-27508355784\) \([]\) \(2880\) \(0.68483\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3822.d1 has rank \(1\).

Complex multiplication

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

Modular form 3822.2.a.d

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