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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8880c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8880.j1 | 8880c1 | \([0, -1, 0, -122960, 16922592]\) | \(-100389630395083682/2018931072975\) | \(-4134770837452800\) | \([]\) | \(74880\) | \(1.7888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8880c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8880c do not have complex multiplication.Modular form 8880.2.a.c
sage: E.q_eigenform(10)