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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 33800d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.u1 | 33800d1 | \([0, 1, 0, -1408, 313]\) | \(43264/25\) | \(178506250000\) | \([]\) | \(27648\) | \(0.84849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33800d do not have complex multiplication.Modular form 33800.2.a.d
sage: E.q_eigenform(10)