Properties

Label 224400.dl
Number of curves $1$
Conductor $224400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 224400.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.dl1 224400ft1 \([0, -1, 0, -1697008, -872103488]\) \(-8444922396903721/253364474880\) \(-16215326392320000000\) \([]\) \(5806080\) \(2.4641\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.dl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 224400.dl do not have complex multiplication.

Modular form 224400.2.a.dl

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} - q^{11} + q^{13} + q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display