Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 344760.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.d1 344760d1 \([0, -1, 0, -38081, -2953419]\) \(-29246464/1275\) \(-266254507334400\) \([]\) \(1697280\) \(1.5334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.d1 has rank \(1\).

Complex multiplication

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

Modular form 344760.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} - 5 q^{11} + q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display