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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 45080d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45080.s1 | 45080d1 | \([0, 1, 0, 7824, 78665]\) | \(28134973184/17609375\) | \(-33147605750000\) | \([]\) | \(92160\) | \(1.2834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45080d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 45080d do not have complex multiplication.Modular form 45080.2.a.d
sage: E.q_eigenform(10)