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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 48400.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.d1 | 48400dn1 | \([0, 0, 0, 1830125, -1006568750]\) | \(3267/4\) | \(-829997587232000000000\) | \([]\) | \(3294720\) | \(2.7001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48400.d do not have complex multiplication.Modular form 48400.2.a.d
sage: E.q_eigenform(10)