Properties

Label 3724b
Number of curves $1$
Conductor $3724$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 3724b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3724.a1 3724b1 \([0, 1, 0, -1045, 12711]\) \(-4194304/19\) \(-572244736\) \([]\) \(1980\) \(0.53202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3724b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3724b do not have complex multiplication.

Modular form 3724.2.a.b

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