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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 101150.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.c1 | 101150x1 | \([1, -1, 0, -292, -2384]\) | \(-610929/224\) | \(-1011500000\) | \([]\) | \(100800\) | \(0.43822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101150.c do not have complex multiplication.Modular form 101150.2.a.c
sage: E.q_eigenform(10)