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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6664.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6664.c1 | 6664b1 | \([0, 0, 0, -5243, -146314]\) | \(-3241463778/4913\) | \(-24158439424\) | \([]\) | \(5472\) | \(0.89246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6664.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6664.c do not have complex multiplication.Modular form 6664.2.a.c
sage: E.q_eigenform(10)