Properties

Label 310464.cd
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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

Elliptic curves in class 310464.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.cd1 310464cd1 \([0, 0, 0, -2804844, -1874397616]\) \(-260607143968297/11270993184\) \(-105542096656967663616\) \([]\) \(12902400\) \(2.6078\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 310464.cd do not have complex multiplication.

Modular form 310464.2.a.cd

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