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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 94192x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 94192.z1 | 94192x1 | \([0, 1, 0, -430872, -204102508]\) | \(-4317433/6272\) | \(-12851386376566341632\) | \([]\) | \(1169280\) | \(2.3587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94192x do not have complex multiplication.Modular form 94192.2.a.x
sage: E.q_eigenform(10)