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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 450800d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.d1 | 450800d1 | \([0, 0, 0, -89425, 105172375]\) | \(-2688885504/160908575\) | \(-4732683235043750000\) | \([]\) | \(12441600\) | \(2.2633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800d do not have complex multiplication.Modular form 450800.2.a.d
sage: E.q_eigenform(10)