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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 450800q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.q1 | 450800q1 | \([0, 1, 0, -20008, -34710012]\) | \(-196/115\) | \(-519754458160000000\) | \([]\) | \(4322304\) | \(2.0784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800q do not have complex multiplication.Modular form 450800.2.a.q
sage: E.q_eigenform(10)