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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1323.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1323.d1 | 1323g1 | \([1, -1, 1, -4052, -353510]\) | \(-147\) | \(-50039642934603\) | \([]\) | \(3780\) | \(1.3120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1323.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1323.d do not have complex multiplication.Modular form 1323.2.a.d
sage: E.q_eigenform(10)