Properties

Label 97020.ct
Number of curves $1$
Conductor $97020$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 97020.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97020.ct1 97020cu1 \([0, 0, 0, 63, 189]\) \(48384/55\) \(-31434480\) \([]\) \(23040\) \(0.12503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020.ct1 has rank \(0\).

Complex multiplication

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

Modular form 97020.2.a.ct

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