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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 17100.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17100.bb1 | 17100r1 | \([0, 0, 0, -4800, 128500]\) | \(-4194304/19\) | \(-55404000000\) | \([]\) | \(20160\) | \(0.91309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17100.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17100.bb do not have complex multiplication.Modular form 17100.2.a.bb
sage: E.q_eigenform(10)