Properties

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

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 9702.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.bv1 9702bo1 \([1, -1, 1, -119300, -44193369]\) \(-44681709625/175177728\) \(-736191396591501312\) \([]\) \(107520\) \(2.1138\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.bv1 has rank \(0\).

Complex multiplication

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

Modular form 9702.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} + q^{11} + 4 q^{13} + q^{16} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display