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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 202160.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.c1 | 202160a1 | \([0, 0, 0, -110827, 56284954]\) | \(-781229961/6650000\) | \(-1281454525030400000\) | \([]\) | \(4147200\) | \(2.1572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202160.c do not have complex multiplication.Modular form 202160.2.a.c
sage: E.q_eigenform(10)