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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 356928dm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
356928.dm1 | 356928dm1 | \([0, -1, 0, 76163, 1102243]\) | \(5537792/3267\) | \(-28824556343723712\) | \([]\) | \(2426112\) | \(1.8477\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 356928dm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 356928dm do not have complex multiplication.Modular form 356928.2.a.dm
sage: E.q_eigenform(10)