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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 47190.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.q1 | 47190m1 | \([1, 1, 0, -2, 6516]\) | \(-14641/151632000\) | \(-18347472000\) | \([]\) | \(36288\) | \(0.64828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190.q do not have complex multiplication.Modular form 47190.2.a.q
sage: E.q_eigenform(10)