Properties

Label 386631e
Number of curves $1$
Conductor $386631$
CM no
Rank $1$

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

Elliptic curves in class 386631e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
386631.e1 386631e1 \([0, 0, 1, -137541, 23023948]\) \(-8390176768/1821771\) \(-62480273001257979\) \([]\) \(5660928\) \(1.9437\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 386631e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 386631e do not have complex multiplication.

Modular form 386631.2.a.e

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 3 q^{5} + q^{7} - 6 q^{10} + 3 q^{11} - q^{13} - 2 q^{14} - 4 q^{16} + q^{17} + O(q^{20})\) Copy content Toggle raw display