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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 248430n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.n1 | 248430n1 | \([1, 1, 0, 3469567, 21835348137]\) | \(830297/37500\) | \(-208615777563271850362500\) | \([]\) | \(34245120\) | \(3.1543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430n do not have complex multiplication.Modular form 248430.2.a.n
sage: E.q_eigenform(10)