Properties

Label 230640.cq
Number of curves $1$
Conductor $230640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 230640.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
230640.cq1 230640cq1 \([0, 1, 0, -221952880, -1382567203372]\) \(-360187951921/37500000\) \(-125894904880251033600000000\) \([]\) \(107136000\) \(3.7473\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 230640.cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 230640.cq do not have complex multiplication.

Modular form 230640.2.a.cq

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 5 q^{7} + q^{9} - q^{11} - 4 q^{13} + q^{15} - 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display