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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 82800.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82800.bb1 | 82800ce1 | \([0, 0, 0, 1500, 137500]\) | \(1024/23\) | \(-8383500000000\) | \([]\) | \(168960\) | \(1.1600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82800.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 82800.bb do not have complex multiplication.Modular form 82800.2.a.bb
sage: E.q_eigenform(10)