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SageMath
E = EllipticCurve("gd1")
E.isogeny_class()
Elliptic curves in class 62400.gd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.gd1 | 62400hs1 | \([0, 1, 0, -5333, -161037]\) | \(-524288/39\) | \(-1248000000000\) | \([]\) | \(107520\) | \(1.0698\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.gd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.gd do not have complex multiplication.Modular form 62400.2.a.gd
sage: E.q_eigenform(10)