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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 81120.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81120.c1 | 81120be1 | \([0, -1, 0, 790019, -57747275]\) | \(2758136205824/1668346875\) | \(-32984234849779200000\) | \([]\) | \(1612800\) | \(2.4345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81120.c do not have complex multiplication.Modular form 81120.2.a.c
sage: E.q_eigenform(10)