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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 426888.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.t1 | 426888t1 | \([0, 0, 0, 554296281, -22873817619961]\) | \(5820759945472/73222472421\) | \(-236926864288605125973288723696\) | \([]\) | \(340623360\) | \(4.3173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888.t do not have complex multiplication.Modular form 426888.2.a.t
sage: E.q_eigenform(10)