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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 35520by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.u1 | 35520by1 | \([0, -1, 0, -1345, -70943]\) | \(-2054487458/15609375\) | \(-2045952000000\) | \([]\) | \(64512\) | \(1.0452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35520by do not have complex multiplication.Modular form 35520.2.a.by
sage: E.q_eigenform(10)