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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 14784bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14784.j1 | 14784bt1 | \([0, -1, 0, -1881, 36369]\) | \(-719152519936/122762871\) | \(-125709179904\) | \([]\) | \(9984\) | \(0.85624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14784bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14784bt do not have complex multiplication.Modular form 14784.2.a.bt
sage: E.q_eigenform(10)