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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 40560.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40560.c1 | 40560d1 | \([0, -1, 0, -17801, -1395915]\) | \(-504871936/394875\) | \(-487932468192000\) | \([]\) | \(161280\) | \(1.5171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40560.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40560.c do not have complex multiplication.Modular form 40560.2.a.c
sage: E.q_eigenform(10)