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SageMath
E = EllipticCurve("gd1")
E.isogeny_class()
Elliptic curves in class 227430gd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.e1 | 227430gd1 | \([1, -1, 0, -140911905, -649482556675]\) | \(-243602310198023065827/2502840869200000\) | \(-3179205549746633660400000\) | \([]\) | \(50803200\) | \(3.5195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430gd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227430gd do not have complex multiplication.Modular form 227430.2.a.gd
sage: E.q_eigenform(10)