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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 54096.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.n1 | 54096bu1 | \([0, -1, 0, 468424, -144973968]\) | \(68769820673/94610592\) | \(-15638030940591489024\) | \([]\) | \(806400\) | \(2.3687\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096.n do not have complex multiplication.Modular form 54096.2.a.n
sage: E.q_eigenform(10)