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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 46800.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.dg1 | 46800cv1 | \([0, 0, 0, -1294635, -602229670]\) | \(-3214683778008145/238496514048\) | \(-17803669375077580800\) | \([]\) | \(741888\) | \(2.4427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.dg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.dg do not have complex multiplication.Modular form 46800.2.a.dg
sage: E.q_eigenform(10)