Properties

Label 5220.b
Number of curves $1$
Conductor $5220$
CM no
Rank $1$

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

Elliptic curves in class 5220.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5220.b1 5220i1 \([0, 0, 0, -1713, -29387]\) \(-47659369216/4404375\) \(-51372630000\) \([]\) \(3840\) \(0.79769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5220.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5220.b do not have complex multiplication.

Modular form 5220.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + 3 q^{11} + q^{13} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display