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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 22800.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.b1 | 22800cn1 | \([0, -1, 0, -6208, 190912]\) | \(-16539745/57\) | \(-91200000000\) | \([]\) | \(30720\) | \(0.96639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22800.b do not have complex multiplication.Modular form 22800.2.a.b
sage: E.q_eigenform(10)