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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 5712.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5712.bb1 | 5712x1 | \([0, 1, 0, -35264, 2600244]\) | \(-1184052061112257/34349180544\) | \(-140694243508224\) | \([]\) | \(20160\) | \(1.4940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5712.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5712.bb do not have complex multiplication.Modular form 5712.2.a.bb
sage: E.q_eigenform(10)