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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 51600.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51600.ch1 | 51600dm1 | \([0, 1, 0, -5808, -189612]\) | \(-338608873/41796\) | \(-2674944000000\) | \([]\) | \(103680\) | \(1.1192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51600.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51600.ch do not have complex multiplication.Modular form 51600.2.a.ch
sage: E.q_eigenform(10)