Properties

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

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 7650.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7650.ch1 7650cc1 \([1, -1, 1, -436055, -85121553]\) \(1288009359025/304570368\) \(2168279280000000000\) \([]\) \(174720\) \(2.2299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7650.ch1 has rank \(0\).

Complex multiplication

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

Modular form 7650.2.a.ch

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{7} + q^{8} + 5 q^{11} + 4 q^{13} + 3 q^{14} + q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display