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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 22800.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.q1 | 22800j1 | \([0, -1, 0, -1908, -30213]\) | \(76857529600/3365793\) | \(33657930000\) | \([]\) | \(21120\) | \(0.78324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22800.q do not have complex multiplication.Modular form 22800.2.a.q
sage: E.q_eigenform(10)