Properties

Label 7650.bj
Number of curves $1$
Conductor $7650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 7650.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7650.bj1 7650bs1 \([1, -1, 1, -7055, -226303]\) \(3681571635/34\) \(358593750\) \([]\) \(13440\) \(0.80533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7650.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7650.bj do not have complex multiplication.

Modular form 7650.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 5 q^{7} + q^{8} + 5 q^{11} - 5 q^{14} + q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display