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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 36100.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36100.c1 | 36100d1 | \([0, 1, 0, -914533, 335151063]\) | \(1245184/5\) | \(339671260820000000\) | \([]\) | \(689472\) | \(2.2204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36100.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36100.c do not have complex multiplication.Modular form 36100.2.a.c
sage: E.q_eigenform(10)