Properties

Label 97020bh
Number of curves $1$
Conductor $97020$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("bh1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97020bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97020.s1 97020bh1 [0, 0, 0, -9408, 3220868] [] 414720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020bh1 has rank \(2\).

Complex multiplication

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

Modular form 97020.2.a.bh

sage: E.q_eigenform(10)
 
\( q - q^{5} + q^{11} - 5q^{13} - 2q^{17} - q^{19} + O(q^{20}) \)