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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 10800.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10800.bt1 | 10800bc1 | \([0, 0, 0, 2700, -40500]\) | \(27648/25\) | \(-1968300000000\) | \([]\) | \(13824\) | \(1.0464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10800.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10800.bt do not have complex multiplication.Modular form 10800.2.a.bt
sage: E.q_eigenform(10)