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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 3330.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.q1 | 3330r1 | \([1, -1, 1, 1822, 15081]\) | \(918046641959/674325000\) | \(-491582925000\) | \([]\) | \(5760\) | \(0.93170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3330.q do not have complex multiplication.Modular form 3330.2.a.q
sage: E.q_eigenform(10)