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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6672.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6672.c1 | 6672j1 | \([0, -1, 0, -21, -36]\) | \(-67108864/11259\) | \(-180144\) | \([]\) | \(576\) | \(-0.26466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6672.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6672.c do not have complex multiplication.Modular form 6672.2.a.c
sage: E.q_eigenform(10)