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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 1155.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1155.n1 | 1155b1 | \([0, -1, 1, 8294, 284721]\) | \(63090423356788736/72214645051395\) | \(-72214645051395\) | \([]\) | \(4368\) | \(1.3456\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1155.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1155.n do not have complex multiplication.Modular form 1155.2.a.n
sage: E.q_eigenform(10)