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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 69360ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.f1 | 69360ch1 | \([0, -1, 0, -355566, -81510609]\) | \(-12872772702976/3984375\) | \(-1538770023750000\) | \([]\) | \(580608\) | \(1.8906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69360ch do not have complex multiplication.Modular form 69360.2.a.ch
sage: E.q_eigenform(10)