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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 473382cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
473382.cq1 | 473382cq1 | \([1, -1, 0, -261358938, 1635681681972]\) | \(-112205650221491190337/745029571313664\) | \(-13109754757090885387812864\) | \([]\) | \(167552000\) | \(3.6552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473382cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 473382cq do not have complex multiplication.Modular form 473382.2.a.cq
sage: E.q_eigenform(10)