Properties

Label 97020.p
Number of curves $1$
Conductor $97020$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97020.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97020.p1 97020cb1 [0, 0, 0, -2168103, -1828836898] [] 4515840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97020.p do not have complex multiplication.

Modular form 97020.2.a.p

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