Properties

Label 418275.co
Number of curves $1$
Conductor $418275$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 418275.co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418275.co1 418275co1 \([1, -1, 0, -792, 46541]\) \(-675/11\) \(-895976420625\) \([]\) \(442368\) \(0.97469\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418275.co1 has rank \(0\).

Complex multiplication

The elliptic curves in class 418275.co do not have complex multiplication.

Modular form 418275.2.a.co

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