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Properties

Label 846720.bc
Number of curves $1$
Conductor $846720$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bc1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 846720.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 846720.bc do not have complex multiplication.

Modular form 846720.2.a.bc

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

Elliptic curves in class 846720.bc

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
846720.bc1 \([0, 0, 0, -2653938, 1664127612]\) \(-3487197405312/21875\) \(-12967837495200000\) \([]\) \(11059200\) \(2.2775\)