Properties

Label 50400cr
Number of curves $1$
Conductor $50400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 50400cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50400.m1 50400cr1 \([0, 0, 0, -675, -12150]\) \(-5400/7\) \(-44089920000\) \([]\) \(34560\) \(0.73550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50400cr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 50400cr do not have complex multiplication.

Modular form 50400.2.a.cr

sage: E.q_eigenform(10)
 
\(q - q^{7} - 4 q^{11} + 5 q^{13} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display