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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1764.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1764.c1 | 1764h1 | \([0, 0, 0, 57624, -1142876]\) | \(401408/243\) | \(-12810148591258368\) | \([]\) | \(10080\) | \(1.7800\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1764.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1764.c do not have complex multiplication.Modular form 1764.2.a.c
sage: E.q_eigenform(10)