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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 85680.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85680.cb1 | 85680eg1 | \([0, 0, 0, -5088, 206512]\) | \(-4878401536/3346875\) | \(-9993715200000\) | \([]\) | \(138240\) | \(1.1948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85680.cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85680.cb do not have complex multiplication.Modular form 85680.2.a.cb
sage: E.q_eigenform(10)