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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 64400.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.bt1 | 64400cb1 | \([0, 1, 0, 2667, -37537]\) | \(4194304/3703\) | \(-1851500000000\) | \([]\) | \(65280\) | \(1.0414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400.bt do not have complex multiplication.Modular form 64400.2.a.bt
sage: E.q_eigenform(10)