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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 92400.dm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.dm1 | 92400fq1 | \([0, -1, 0, -5499733, 4965843037]\) | \(7186354610687180800/534923296677\) | \(1369403639493120000\) | \([]\) | \(2661120\) | \(2.5299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.dm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.dm do not have complex multiplication.Modular form 92400.2.a.dm
sage: E.q_eigenform(10)