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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1444c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1444.a1 | 1444c1 | \([0, 1, 0, -7701, 258583]\) | \(-4194304/19\) | \(-228831165184\) | \([]\) | \(2160\) | \(1.0313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1444c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1444c do not have complex multiplication.Modular form 1444.2.a.c
sage: E.q_eigenform(10)