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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 122010q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122010.u1 | 122010q1 | \([1, 0, 1, -372489, 87473236]\) | \(-16663578523153907743/525234375000\) | \(-180155390625000\) | \([]\) | \(1336320\) | \(1.8313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122010q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122010q do not have complex multiplication.Modular form 122010.2.a.q
sage: E.q_eigenform(10)