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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 102850.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.c1 | 102850bd1 | \([1, -1, 0, -61672, -5880704]\) | \(-585727549785/131648\) | \(-5830561563200\) | \([]\) | \(1105920\) | \(1.4421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850.c do not have complex multiplication.Modular form 102850.2.a.c
sage: E.q_eigenform(10)