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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 72600q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72600.a1 | 72600q1 | \([0, -1, 0, -705833, -272742963]\) | \(-8780800/2187\) | \(-9686009767500000000\) | \([]\) | \(1814400\) | \(2.3610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72600q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72600q do not have complex multiplication.Modular form 72600.2.a.q
sage: E.q_eigenform(10)