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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 6552.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6552.q1 | 6552g1 | \([0, 0, 0, -612, 6372]\) | \(-135834624/15379\) | \(-2870090496\) | \([]\) | \(3072\) | \(0.55171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6552.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6552.q do not have complex multiplication.Modular form 6552.2.a.q
sage: E.q_eigenform(10)