Properties

Label 7650.s
Number of curves $1$
Conductor $7650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 7650.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7650.s1 7650bf1 \([1, -1, 0, -162, -1004]\) \(-5177717/2176\) \(-198288000\) \([]\) \(3360\) \(0.30001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7650.s1 has rank \(0\).

Complex multiplication

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

Modular form 7650.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} + 6 q^{11} - 3 q^{13} + q^{16} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display