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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 35574.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35574.n1 | 35574f1 | \([1, 1, 0, -190929, -36207387]\) | \(-2047314227/314928\) | \(-118404915103922832\) | \([]\) | \(508032\) | \(2.0051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35574.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35574.n do not have complex multiplication.Modular form 35574.2.a.n
sage: E.q_eigenform(10)