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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 40560bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40560.o1 | 40560bl1 | \([0, -1, 0, -13384856, 18852612336]\) | \(-79370312059129/12960\) | \(-43302380110479360\) | \([]\) | \(2096640\) | \(2.5937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40560bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40560bl do not have complex multiplication.Modular form 40560.2.a.bl
sage: E.q_eigenform(10)