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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 11592.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11592.d1 | 11592a1 | \([0, 0, 0, 204, 324]\) | \(135834624/85169\) | \(-588688128\) | \([]\) | \(4224\) | \(0.37184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11592.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 11592.d do not have complex multiplication.Modular form 11592.2.a.d
sage: E.q_eigenform(10)