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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 28880bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28880.x1 | 28880bb1 | \([0, 1, 0, 26480, 1614100]\) | \(73087061741/81920000\) | \(-2301498490880000\) | \([]\) | \(130560\) | \(1.6342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28880bb do not have complex multiplication.Modular form 28880.2.a.bb
sage: E.q_eigenform(10)