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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 75150n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.j1 | 75150n1 | \([1, -1, 0, -66042, -6519884]\) | \(-2796665386969/1923840\) | \(-21913740000000\) | \([]\) | \(368640\) | \(1.4971\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150n do not have complex multiplication.Modular form 75150.2.a.n
sage: E.q_eigenform(10)