Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 97020.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97020.be1 97020bq1 \([0, 0, 0, -9408, 426692]\) \(-4194304/1155\) \(-25359326657280\) \([]\) \(184320\) \(1.2879\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020.be1 has rank \(1\).

Complex multiplication

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

Modular form 97020.2.a.be

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