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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 1850k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1850.m1 | 1850k1 | \([1, 0, 0, -3, -13]\) | \(-121945/2738\) | \(-68450\) | \([]\) | \(192\) | \(-0.39140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1850k do not have complex multiplication.Modular form 1850.2.a.k
sage: E.q_eigenform(10)