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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 9450.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.c1 | 9450t1 | \([1, -1, 0, -117, 441]\) | \(1171875/196\) | \(29767500\) | \([]\) | \(4032\) | \(0.15520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 9450.c do not have complex multiplication.Modular form 9450.2.a.c
sage: E.q_eigenform(10)