Properties

Label 371280dc
Number of curves $1$
Conductor $371280$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 371280dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
371280.dc1 371280dc1 \([0, 1, 0, -474696, 125726580]\) \(-2888094474031216969/10826524800\) \(-44345445580800\) \([]\) \(3386880\) \(1.8338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 371280dc1 has rank \(2\).

Complex multiplication

The elliptic curves in class 371280dc do not have complex multiplication.

Modular form 371280.2.a.dc

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