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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 39200.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39200.c1 | 39200t1 | \([0, 0, 0, 9800, -686000]\) | \(13824/35\) | \(-263533760000000\) | \([]\) | \(221184\) | \(1.4509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39200.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 39200.c do not have complex multiplication.Modular form 39200.2.a.c
sage: E.q_eigenform(10)