Properties

Label 51600.t
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 51600.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.t1 51600bq1 \([0, -1, 0, -108, 1212]\) \(-35152/129\) \(-516000000\) \([]\) \(20736\) \(0.35756\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600.t do not have complex multiplication.

Modular form 51600.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{11} - 7 q^{13} + 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display