Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97020.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97020.b1 97020i1 \([0, 0, 0, 9072, 164052]\) \(47775744/34375\) \(-59411167200000\) \([]\) \(230400\) \(1.3313\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020.b1 has rank \(1\).

Complex multiplication

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

Modular form 97020.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 6q^{13} + 5q^{17} + q^{19} + O(q^{20})\)  Toggle raw display