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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 14400.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14400.d1 | 14400ei1 | \([0, 0, 0, -210000, 44300000]\) | \(-8780800/2187\) | \(-255091680000000000\) | \([]\) | \(215040\) | \(2.0580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14400.d do not have complex multiplication.Modular form 14400.2.a.d
sage: E.q_eigenform(10)