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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 106722.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.t1 | 106722h1 | \([1, -1, 0, -3282813, -2289154939]\) | \(-34068278205171/10307264\) | \(-1183737578924755008\) | \([]\) | \(2419200\) | \(2.4455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106722.t do not have complex multiplication.Modular form 106722.2.a.t
sage: E.q_eigenform(10)