Properties

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

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 352800.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.bm1 352800bm1 \([0, 0, 0, -3675, 154350]\) \(-5400/7\) \(-7115411520000\) \([]\) \(552960\) \(1.1591\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800.bm1 has rank \(2\).

Complex multiplication

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

Modular form 352800.2.a.bm

sage: E.q_eigenform(10)
 
\(q - 4 q^{11} - 5 q^{13} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display