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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 18928e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18928.bd1 | 18928e1 | \([0, -1, 0, -225, -112867]\) | \(-1024/4459\) | \(-5509821780736\) | \([]\) | \(32256\) | \(1.1237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18928e do not have complex multiplication.Modular form 18928.2.a.e
sage: E.q_eigenform(10)