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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 33930bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33930.v1 | 33930bb1 | \([1, -1, 1, -447683, -115298269]\) | \(-13611534355369215721/15998696220000\) | \(-11663049544380000\) | \([]\) | \(396800\) | \(1.9948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33930bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33930bb do not have complex multiplication.Modular form 33930.2.a.bb
sage: E.q_eigenform(10)