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

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Show commands for: SageMath
sage: E = EllipticCurve("s1")
sage: E.isogeny_class()

Elliptic curves in class 97020.s

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


sage: E.rank()

The elliptic curve 97020.s1 has rank \(2\).

Complex multiplication

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

Modular form 97020.2.a.s

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