Properties

Label 352800p
Number of curves $1$
Conductor $352800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 352800p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.p1 352800p1 \([0, 0, 0, 4200, -70000]\) \(3584/3\) \(-6858432000000\) \([]\) \(614400\) \(1.1507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800p1 has rank \(2\).

Complex multiplication

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

Modular form 352800.2.a.p

sage: E.q_eigenform(10)
 
\(q - 6 q^{11} + 5 q^{13} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display