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SageMath
E = EllipticCurve("gd1")
E.isogeny_class()
Elliptic curves in class 68400gd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.dm1 | 68400gd1 | \([0, 0, 0, 142125, -98288750]\) | \(272199695/3735552\) | \(-4357147852800000000\) | \([]\) | \(737280\) | \(2.2573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400gd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68400gd do not have complex multiplication.Modular form 68400.2.a.gd
sage: E.q_eigenform(10)