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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 303600.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.c1 | 303600c1 | \([0, -1, 0, 393867, 161192637]\) | \(105582373535744/236772421875\) | \(-15153435000000000000\) | \([]\) | \(8515584\) | \(2.3645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303600.c do not have complex multiplication.Modular form 303600.2.a.c
sage: E.q_eigenform(10)