Properties

Label 289800dd
Number of curves $1$
Conductor $289800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 289800dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
289800.dd1 289800dd1 \([0, 0, 0, -1894275, -1018126125]\) \(-4124632486295808/70140333767\) \(-12783075829035750000\) \([]\) \(4816896\) \(2.4648\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 289800dd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 289800dd do not have complex multiplication.

Modular form 289800.2.a.dd

sage: E.q_eigenform(10)
 
\(q + q^{7} - 2 q^{11} + q^{13} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display