Properties

Label 344760.cf
Number of curves $1$
Conductor $344760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 344760.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.cf1 344760cf1 \([0, 1, 0, 815, 3875]\) \(1382091776/929475\) \(-40212806400\) \([]\) \(301056\) \(0.72350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 344760.cf do not have complex multiplication.

Modular form 344760.2.a.cf

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 4 q^{7} + q^{9} + 3 q^{11} + q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display