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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 598.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
598.d1 | 598c1 | \([1, 1, 1, -14, -27]\) | \(-304821217/13754\) | \(-13754\) | \([]\) | \(48\) | \(-0.44160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 598.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 598.d do not have complex multiplication.Modular form 598.2.a.d
sage: E.q_eigenform(10)