Properties

Label 97461.a
Number of curves $1$
Conductor $97461$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97461.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.a1 97461r1 \([0, 0, 1, -1284339, -560235020]\) \(-2731787761881088/19171971\) \(-1644305584594491\) \([]\) \(1585152\) \(2.0990\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461.a1 has rank \(0\).

Complex multiplication

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

Modular form 97461.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2q^{2} + 2q^{4} - 3q^{5} + 6q^{10} - 2q^{11} - q^{13} - 4q^{16} + q^{17} - q^{19} + O(q^{20})\)  Toggle raw display