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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 392784n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.n1 | 392784n1 | \([0, -1, 0, 7824, -737568]\) | \(219804478/1095687\) | \(-264000470759424\) | \([]\) | \(1182720\) | \(1.4495\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784n do not have complex multiplication.Modular form 392784.2.a.n
sage: E.q_eigenform(10)