Properties

Label 311904.cd
Number of curves $1$
Conductor $311904$
CM no
Rank $1$

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

Elliptic curves in class 311904.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
311904.cd1 311904cd1 \([0, 0, 0, -8664, 329232]\) \(-13824\) \(-5202898071552\) \([]\) \(675648\) \(1.1896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 311904.cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 311904.cd do not have complex multiplication.

Modular form 311904.2.a.cd

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 3 q^{7} + 6 q^{11} + 3 q^{13} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display