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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 201810.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201810.c1 | 201810cv1 | \([1, 1, 0, -474273, 315069333]\) | \(-13293525831769/40687500000\) | \(-36110306020687500000\) | \([]\) | \(6912000\) | \(2.4395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 201810.c do not have complex multiplication.Modular form 201810.2.a.c
sage: E.q_eigenform(10)