Properties

Label 397800.do
Number of curves $1$
Conductor $397800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("do1")
 
E.isogeny_class()
 

Elliptic curves in class 397800.do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.do1 397800do1 \([0, 0, 0, -29175, 6649875]\) \(-406867062528/2594678125\) \(-17514077343750000\) \([]\) \(2949120\) \(1.8003\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.do1 has rank \(2\).

Complex multiplication

The elliptic curves in class 397800.do do not have complex multiplication.

Modular form 397800.2.a.do

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 5 q^{11} + q^{13} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display