Properties

Label 374790.cd
Number of curves $1$
Conductor $374790$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 374790.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.cd1 374790cd1 \([1, 0, 1, -2862018, -1853120492]\) \(2697846207552664460761/17933965470720000\) \(17234540817361920000\) \([]\) \(27256320\) \(2.5263\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 374790.cd do not have complex multiplication.

Modular form 374790.2.a.cd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 5 q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} + q^{12} - q^{13} - 5 q^{14} + q^{15} + q^{16} + 6 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display