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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 95550.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.c1 | 95550j1 | \([1, 1, 0, -318525, -74971875]\) | \(-39678209809/3900000\) | \(-351292560937500000\) | \([]\) | \(1612800\) | \(2.1075\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95550.c do not have complex multiplication.Modular form 95550.2.a.c
sage: E.q_eigenform(10)