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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 18032o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18032.z1 | 18032o1 | \([0, 0, 0, -412531, 103471781]\) | \(-4124632486295808/70140333767\) | \(-132031042037660528\) | \([]\) | \(258048\) | \(2.0837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18032o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18032o do not have complex multiplication.Modular form 18032.2.a.o
sage: E.q_eigenform(10)