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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 18928.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18928.b1 | 18928bd1 | \([0, 0, 0, -59995, -123519734]\) | \(-1207949625/332678528\) | \(-6577257320682094592\) | \([]\) | \(564480\) | \(2.2901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18928.b do not have complex multiplication.Modular form 18928.2.a.b
sage: E.q_eigenform(10)