Properties

Label 234416.a
Number of curves $1$
Conductor $234416$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 234416.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.a1 234416a1 \([0, 0, 0, 14, -6965]\) \(387072/26730899\) \(-20957024816\) \([]\) \(290304\) \(0.65937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 234416.a do not have complex multiplication.

Modular form 234416.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{5} + 6 q^{9} + q^{11} - q^{13} + 6 q^{15} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display