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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 303600.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.n1 | 303600n1 | \([0, -1, 0, -1012408, -363436688]\) | \(1793126264853169/144450256896\) | \(9244816441344000000\) | \([]\) | \(6128640\) | \(2.3823\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303600.n do not have complex multiplication.Modular form 303600.2.a.n
sage: E.q_eigenform(10)