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Properties

Label 479808hr
Number of curves $1$
Conductor $479808$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("hr1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479808hr1 has rank \(0\).

Complex multiplication

The elliptic curves in class 479808hr do not have complex multiplication.

Modular form 479808.2.a.hr

Copy content sage:E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{11} + 4 q^{13} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 479808hr

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.hr1 479808hr1 \([0, 0, 0, -188748, 31603824]\) \(-3241463778/4913\) \(-1127136149766144\) \([]\) \(2801664\) \(1.7883\) \(\Gamma_0(N)\)-optimal