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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 180999.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180999.c1 | 180999c1 | \([0, 0, 1, -21801, 18092844]\) | \(-325660672/40000779\) | \(-140752491541389819\) | \([]\) | \(2967552\) | \(1.9699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180999.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180999.c do not have complex multiplication.Modular form 180999.2.a.c
sage: E.q_eigenform(10)