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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 348726cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.cu1 | 348726cu1 | \([1, 0, 0, -207, -1863]\) | \(-2718057673/2503872\) | \(-903897792\) | \([]\) | \(250560\) | \(0.41517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726cu do not have complex multiplication.Modular form 348726.2.a.cu
sage: E.q_eigenform(10)