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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 88445bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.ba1 | 88445bb1 | \([1, -1, 0, -4558234, 3746170063]\) | \(106979481/25\) | \(2447671530057996025\) | \([]\) | \(5056128\) | \(2.5190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445bb do not have complex multiplication.Modular form 88445.2.a.bb
sage: E.q_eigenform(10)