Properties

Label 207368t
Number of curves $1$
Conductor $207368$
CM no
Rank $1$

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

Elliptic curves in class 207368t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207368.l1 207368t1 \([0, -1, 0, -734428, 243995333]\) \(-157216000/1127\) \(-314050258267056752\) \([]\) \(2433024\) \(2.1898\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207368t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 207368t do not have complex multiplication.

Modular form 207368.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 6 q^{11} + 3 q^{13} + O(q^{20})\) Copy content Toggle raw display