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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1143c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1143.a1 | 1143c1 | \([0, 0, 1, -39, 90]\) | \(8998912/381\) | \(277749\) | \([]\) | \(352\) | \(-0.19102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1143c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1143c do not have complex multiplication.Modular form 1143.2.a.c
sage: E.q_eigenform(10)