Properties

Label 435600rl
Number of curves $1$
Conductor $435600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("rl1")
 
E.isogeny_class()
 

Elliptic curves in class 435600rl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435600.rl1 435600rl1 \([0, 0, 0, -226875, 224606250]\) \(-675/11\) \(-21046144680000000000\) \([]\) \(7372800\) \(2.3890\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435600rl1 has rank \(1\).

Complex multiplication

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

Modular form 435600.2.a.rl

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