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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 145600.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145600.cu1 | 145600ff1 | \([0, -1, 0, -2341633, 1448091137]\) | \(-693346671296498/40610171875\) | \(-83169632000000000000\) | \([]\) | \(4792320\) | \(2.5783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145600.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145600.cu do not have complex multiplication.Modular form 145600.2.a.cu
sage: E.q_eigenform(10)