Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 97020.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97020.n1 97020cc1 \([0, 0, 0, -273, -4403]\) \(-3937024/12375\) \(-7072758000\) \([]\) \(55296\) \(0.57651\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020.n1 has rank \(1\).

Complex multiplication

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

Modular form 97020.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} - 7 q^{13} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display