Properties

Label 9702b
Number of curves $1$
Conductor $9702$
CM no
Rank $0$

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

Elliptic curves in class 9702b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.p1 9702b1 \([1, -1, 0, -32349, 2276357]\) \(-24052806603/360448\) \(-56103596752896\) \([]\) \(40320\) \(1.4415\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9702b do not have complex multiplication.

Modular form 9702.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} + q^{11} + 2 q^{13} + q^{16} - 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display