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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 105966t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105966.b1 | 105966t1 | \([1, -1, 0, -411916491, 3341737445701]\) | \(-21195308337309457/962072674304\) | \(-350848311755383506758270976\) | \([]\) | \(73393200\) | \(3.8577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105966t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105966t do not have complex multiplication.Modular form 105966.2.a.t
sage: E.q_eigenform(10)