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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1323.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1323.c1 | 1323j1 | \([0, 0, 1, -9261, -340342]\) | \(110592\) | \(794280046581\) | \([]\) | \(4032\) | \(1.1059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1323.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1323.c do not have complex multiplication.Modular form 1323.2.a.c
sage: E.q_eigenform(10)