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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 338130.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.bt1 | 338130bt1 | \([1, -1, 0, -210537999, 1175988134893]\) | \(-16950869189311243954609/1791373816627200\) | \(-109071035420581350604800\) | \([]\) | \(73716480\) | \(3.4519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.bt do not have complex multiplication.Modular form 338130.2.a.bt
sage: E.q_eigenform(10)