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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 8820.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8820.bb1 | 8820u1 | \([0, 0, 0, -214032, 38310356]\) | \(-1007878144/6075\) | \(-6535790097580800\) | \([]\) | \(80640\) | \(1.8743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8820.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8820.bb do not have complex multiplication.Modular form 8820.2.a.bb
sage: E.q_eigenform(10)