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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 176400co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.ss1 | 176400co1 | \([0, 0, 0, -2249625, 1298714375]\) | \(-805661175040/729\) | \(-1139276643750000\) | \([]\) | \(2211840\) | \(2.1874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400co do not have complex multiplication.Modular form 176400.2.a.co
sage: E.q_eigenform(10)