Properties

Label 68400.dm
Number of curves $1$
Conductor $68400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dm1")
 
E.isogeny_class()
 

Elliptic curves in class 68400.dm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.dm1 68400gd1 \([0, 0, 0, 142125, -98288750]\) \(272199695/3735552\) \(-4357147852800000000\) \([]\) \(737280\) \(2.2573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400.dm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68400.dm do not have complex multiplication.

Modular form 68400.2.a.dm

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