Properties

Label 308898.t
Number of curves $1$
Conductor $308898$
CM no
Rank $1$

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

Elliptic curves in class 308898.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308898.t1 308898t1 \([1, -1, 0, -2551626, 3498456744]\) \(-498677257/1145988\) \(-4222166662147066783812\) \([]\) \(23063040\) \(2.8380\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308898.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 308898.t do not have complex multiplication.

Modular form 308898.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{5} - 2 q^{7} - q^{8} - 2 q^{10} - 3 q^{11} - 5 q^{13} + 2 q^{14} + q^{16} + 7 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display