Properties

Label 418950t
Number of curves $1$
Conductor $418950$
CM no
Rank $2$

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

Elliptic curves in class 418950t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.t1 418950t1 \([1, -1, 0, 9693, -1650699]\) \(9393931/114912\) \(-1231944562044000\) \([]\) \(2580480\) \(1.5765\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950t1 has rank \(2\).

Complex multiplication

The elliptic curves in class 418950t do not have complex multiplication.

Modular form 418950.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} + 3 q^{13} + q^{16} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display