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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 88200.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.bt1 | 88200cq1 | \([0, 0, 0, 8925, -733250]\) | \(68782/243\) | \(-277766496000000\) | \([]\) | \(268800\) | \(1.4544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.bt do not have complex multiplication.Modular form 88200.2.a.bt
sage: E.q_eigenform(10)