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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 12480.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.ch1 | 12480cn1 | \([0, 1, 0, -1, 5]\) | \(-4096/195\) | \(-12480\) | \([]\) | \(960\) | \(-0.53401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12480.ch do not have complex multiplication.Modular form 12480.2.a.ch
sage: E.q_eigenform(10)