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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8032.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8032.c1 | 8032b1 | \([0, 0, 0, 8, -48]\) | \(13824/251\) | \(-1028096\) | \([]\) | \(672\) | \(-0.16595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8032.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8032.c do not have complex multiplication.Modular form 8032.2.a.c
sage: E.q_eigenform(10)