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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6003.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6003.c1 | 6003c1 | \([1, -1, 0, 99, 1498]\) | \(146363183/1458729\) | \(-1063413441\) | \([]\) | \(2240\) | \(0.41319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6003.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6003.c do not have complex multiplication.Modular form 6003.2.a.c
sage: E.q_eigenform(10)