Properties

Label 50400.dv
Number of curves $1$
Conductor $50400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dv1")
 
E.isogeny_class()
 

Elliptic curves in class 50400.dv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50400.dv1 50400cl1 \([0, 0, 0, -1875, 56250]\) \(-5400/7\) \(-945000000000\) \([]\) \(57600\) \(0.99091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50400.dv1 has rank \(1\).

Complex multiplication

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

Modular form 50400.2.a.dv

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