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SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 127050.et
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127050.et1 | 127050dr1 | \([1, 0, 1, 74, -6712]\) | \(15104375/6453888\) | \(-19523011200\) | \([]\) | \(171360\) | \(0.65367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127050.et1 has rank \(0\).
Complex multiplication
The elliptic curves in class 127050.et do not have complex multiplication.Modular form 127050.2.a.et
sage: E.q_eigenform(10)