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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 69454.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69454.d1 | 69454g1 | \([1, 1, 0, -2543, -6299]\) | \(1027243729/587776\) | \(1041281038336\) | \([]\) | \(95040\) | \(0.99568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69454.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69454.d do not have complex multiplication.Modular form 69454.2.a.d
sage: E.q_eigenform(10)