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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 123840.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123840.n1 | 123840fo1 | \([0, 0, 0, -2028, -39152]\) | \(-38614472/5375\) | \(-128397312000\) | \([]\) | \(129024\) | \(0.86304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123840.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123840.n do not have complex multiplication.Modular form 123840.2.a.n
sage: E.q_eigenform(10)