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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 162450q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162450.cv1 | 162450q1 | \([1, -1, 1, 932395, 724168397]\) | \(463391/1440\) | \(-278572892780002500000\) | \([]\) | \(5253120\) | \(2.6063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162450q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162450q do not have complex multiplication.Modular form 162450.2.a.q
sage: E.q_eigenform(10)