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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 7056.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.cb1 | 7056c1 | \([0, 0, 0, -12348, 528220]\) | \(-5225472\) | \(-39846304512\) | \([]\) | \(13440\) | \(1.0348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056.cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7056.cb do not have complex multiplication.Modular form 7056.2.a.cb
sage: E.q_eigenform(10)