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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 173400.ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 173400.ch1 | 173400ee1 | \([0, -1, 0, -67433, 8083437]\) | \(-8780800/2187\) | \(-8446218144480000\) | \([]\) | \(1720320\) | \(1.7740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 173400.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 173400.ch do not have complex multiplication.Modular form 173400.2.a.ch
sage: E.q_eigenform(10)