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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 6672.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6672.q1 | 6672e1 | \([0, 1, 0, -31696, -2182588]\) | \(-3439147732759876/24623433\) | \(-25214395392\) | \([]\) | \(25344\) | \(1.1741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6672.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6672.q do not have complex multiplication.Modular form 6672.2.a.q
sage: E.q_eigenform(10)