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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 320892.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320892.q1 | 320892q1 | \([0, 1, 0, 1412, 85556]\) | \(686000/7293\) | \(-3307518559488\) | \([]\) | \(702720\) | \(1.0833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320892.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 320892.q do not have complex multiplication.Modular form 320892.2.a.q
sage: E.q_eigenform(10)