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SageMath
E = EllipticCurve("nu1")
E.isogeny_class()
Elliptic curves in class 187200.nu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.nu1 | 187200bt1 | \([0, 0, 0, 244500, -117790000]\) | \(86614940/371293\) | \(-6929218483200000000\) | \([]\) | \(2764800\) | \(2.2977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.nu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.nu do not have complex multiplication.Modular form 187200.2.a.nu
sage: E.q_eigenform(10)