Properties

Label 97461.b
Number of curves $1$
Conductor $97461$
CM no
Rank $1$

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

Elliptic curves in class 97461.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.b1 97461g1 \([0, 0, 1, -6255291, 6021290826]\) \(6441016595550208/511270461\) \(2148634526870737269\) \([]\) \(4730880\) \(2.5640\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97461.b do not have complex multiplication.

Modular form 97461.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2q^{2} + 2q^{4} - 2q^{5} + 4q^{10} - 5q^{11} + q^{13} - 4q^{16} - q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display