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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 43350d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.j1 | 43350d1 | \([1, 1, 0, -1318500, -583281000]\) | \(-56136684668636449/2361960\) | \(-10665725625000\) | \([]\) | \(570240\) | \(1.9851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350d do not have complex multiplication.Modular form 43350.2.a.d
sage: E.q_eigenform(10)