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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 66270t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66270.v1 | 66270t1 | \([1, 1, 1, 417455, -991796305]\) | \(7189057/384000\) | \(-429746101671462528000\) | \([]\) | \(3790080\) | \(2.6388\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66270t do not have complex multiplication.Modular form 66270.2.a.t
sage: E.q_eigenform(10)