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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 119952.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.du1 | 119952dk1 | \([0, 0, 0, 58653, -74291742]\) | \(1296351/139264\) | \(-2397235284673560576\) | \([]\) | \(1677312\) | \(2.2061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.du1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.du do not have complex multiplication.Modular form 119952.2.a.du
sage: E.q_eigenform(10)