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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 18864be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18864.bd1 | 18864be1 | \([0, 0, 0, -2379, 99578]\) | \(-498677257/1145988\) | \(-3421901832192\) | \([]\) | \(32256\) | \(1.0935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18864be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18864be do not have complex multiplication.Modular form 18864.2.a.be
sage: E.q_eigenform(10)