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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 85176.bt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.bt1 | 85176cd1 | \([0, 0, 0, -2379, -31642]\) | \(5901506/1701\) | \(429188917248\) | \([]\) | \(107520\) | \(0.93845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176.bt do not have complex multiplication.Modular form 85176.2.a.bt
sage: E.q_eigenform(10)