Properties

Label 486720e
Number of curves $1$
Conductor $486720$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 486720e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
486720.e1 486720e1 \([0, 0, 0, -2952768, -2649546848]\) \(-22478848/10935\) \(-1385021215036168519680\) \([]\) \(33546240\) \(2.7621\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 486720e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 486720e do not have complex multiplication.

Modular form 486720.2.a.e

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