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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 7728.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7728.n1 | 7728f1 | \([0, 1, 0, -392, 4116]\) | \(-3261064466/1917027\) | \(-3926071296\) | \([]\) | \(4800\) | \(0.54347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7728.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7728.n do not have complex multiplication.Modular form 7728.2.a.n
sage: E.q_eigenform(10)