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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 26775bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.u1 | 26775bb1 | \([0, 0, 1, -1070966550, -13492196207469]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-25591094398976649169921875\) | \([]\) | \(8064000\) | \(3.8769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775bb do not have complex multiplication.Modular form 26775.2.a.bb
sage: E.q_eigenform(10)