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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 31939c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31939.a1 | 31939c1 | \([1, 0, 0, 6, 7]\) | \(14063/19\) | \(-31939\) | \([]\) | \(3360\) | \(-0.44994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31939c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31939c do not have complex multiplication.Modular form 31939.2.a.c
sage: E.q_eigenform(10)