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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 119952bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.i1 | 119952bt1 | \([0, 0, 0, -1659, 18074]\) | \(13805092/4131\) | \(151104973824\) | \([]\) | \(122880\) | \(0.85049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952bt1 has rank \(2\).
Complex multiplication
The elliptic curves in class 119952bt do not have complex multiplication.Modular form 119952.2.a.bt
sage: E.q_eigenform(10)