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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 485100n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.n1 | 485100n1 | \([0, 0, 0, -6615, 224910]\) | \(-105840/11\) | \(-3327025363200\) | \([]\) | \(777600\) | \(1.1420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 485100n do not have complex multiplication.Modular form 485100.2.a.n
sage: E.q_eigenform(10)