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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 101400.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101400.du1 | 101400ds1 | \([0, 1, 0, -39433, 3591563]\) | \(-8780800/2187\) | \(-1688997005280000\) | \([]\) | \(753984\) | \(1.6399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101400.du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101400.du do not have complex multiplication.Modular form 101400.2.a.du
sage: E.q_eigenform(10)