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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 374544n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374544.n1 | 374544n1 | \([0, 0, 0, -7803, -132651]\) | \(2304\) | \(22804788990096\) | \([]\) | \(737280\) | \(1.2593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374544n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 374544n do not have complex multiplication.Modular form 374544.2.a.n
sage: E.q_eigenform(10)