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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 445280.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.c1 | 445280c1 | \([0, 0, 0, -107932, 13656544]\) | \(-2318695384896/1653125\) | \(-99137139200000\) | \([]\) | \(4792320\) | \(1.6212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.c1 has rank \(3\).
Complex multiplication
The elliptic curves in class 445280.c do not have complex multiplication.Modular form 445280.2.a.c
sage: E.q_eigenform(10)