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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 85176n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.bc1 | 85176n1 | \([0, 0, 0, -12675, 1348958]\) | \(-31250/91\) | \(-655781237250048\) | \([]\) | \(241920\) | \(1.5300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176n do not have complex multiplication.Modular form 85176.2.a.n
sage: E.q_eigenform(10)