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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6900.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6900.c1 | 6900a1 | \([0, -1, 0, -21133, 1664137]\) | \(-260956266496/145546875\) | \(-582187500000000\) | \([]\) | \(32256\) | \(1.5365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6900.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6900.c do not have complex multiplication.Modular form 6900.2.a.c
sage: E.q_eigenform(10)