Properties

Label 303600.t
Number of curves $1$
Conductor $303600$
CM no
Rank $1$

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

Elliptic curves in class 303600.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.t1 303600t1 \([0, -1, 0, -488259408, -5238770438688]\) \(-402277363712679575279378/137727283046656167975\) \(-4407273057492997375200000000\) \([]\) \(154091520\) \(4.0160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 303600.t do not have complex multiplication.

Modular form 303600.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + q^{11} - q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display