Properties

Label 435600.rn
Number of curves $1$
Conductor $435600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("rn1")
 
E.isogeny_class()
 

Elliptic curves in class 435600.rn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.rn1 435600rn1 \([0, 0, 0, -2041875, -6064368750]\) \(-675/11\) \(-15342639471720000000000\) \([]\) \(22118400\) \(2.9383\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435600.rn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435600.rn do not have complex multiplication.

Modular form 435600.2.a.rn

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 2 q^{13} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display