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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 127050.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127050.t1 | 127050b1 | \([1, 1, 0, 498155, 13616365]\) | \(231921844285/135531648\) | \(-7989413411475619200\) | \([]\) | \(3725568\) | \(2.3165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127050.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127050.t do not have complex multiplication.Modular form 127050.2.a.t
sage: E.q_eigenform(10)