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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 450840.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.ch1 | 450840ch1 | \([0, 1, 0, 168680, 1607600]\) | \(3103032160078/1801814625\) | \(-308202207835392000\) | \([]\) | \(8335872\) | \(2.0452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840.ch do not have complex multiplication.Modular form 450840.2.a.ch
sage: E.q_eigenform(10)