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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1110.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1110.c1 | 1110b1 | \([1, 1, 0, -3, 3]\) | \(-4826809/5550\) | \(-5550\) | \([]\) | \(112\) | \(-0.58731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1110.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1110.c do not have complex multiplication.Modular form 1110.2.a.c
sage: E.q_eigenform(10)