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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 236992.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.bt1 | 236992bt1 | \([0, 1, 0, 1184255, -227623841]\) | \(8947391/6272\) | \(-128756350892751454208\) | \([]\) | \(8902656\) | \(2.5472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 236992.bt do not have complex multiplication.Modular form 236992.2.a.bt
sage: E.q_eigenform(10)