Properties

Label 352800dl
Number of curves $1$
Conductor $352800$
CM no
Rank $1$

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

Elliptic curves in class 352800dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.dl1 352800dl1 \([0, 0, 0, -40311075, -98512429750]\) \(-215474070728/3645\) \(-122546064329640000000\) \([]\) \(17031168\) \(2.9846\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800dl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 352800dl do not have complex multiplication.

Modular form 352800.2.a.dl

sage: E.q_eigenform(10)
 
\(q - 3 q^{11} + q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display