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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 379050.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.du1 | 379050du1 | \([1, 0, 1, -10531461, 13705553968]\) | \(-21966350325866981/1088685940608\) | \(-6402273651027129456000\) | \([]\) | \(47900160\) | \(2.9455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.du1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.du do not have complex multiplication.Modular form 379050.2.a.du
sage: E.q_eigenform(10)