Properties

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

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Show commands: SageMath
E = EllipticCurve("cm1")
 
E.isogeny_class()
 

Elliptic curves in class 7650.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7650.cm1 7650ck1 \([1, -1, 1, -680, 25697]\) \(-121945/918\) \(-261414843750\) \([]\) \(14400\) \(0.87379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7650.cm1 has rank \(0\).

Complex multiplication

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

Modular form 7650.2.a.cm

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{7} + q^{8} + 2 q^{11} + 6 q^{13} + 4 q^{14} + q^{16} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display