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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 156702.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.t1 | 156702bu1 | \([1, 0, 1, -444995, -36147058]\) | \(82832250843593497/43147377342576\) | \(5076245796976723824\) | \([]\) | \(5068800\) | \(2.2811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 156702.t do not have complex multiplication.Modular form 156702.2.a.t
sage: E.q_eigenform(10)