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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 187200dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.fo1 | 187200dq1 | \([0, 0, 0, -18750, 981250]\) | \(1600000/13\) | \(5923125000000\) | \([]\) | \(518400\) | \(1.2777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200dq do not have complex multiplication.Modular form 187200.2.a.dq
sage: E.q_eigenform(10)