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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 161700.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.cl1 | 161700ce1 | \([0, 1, 0, -37158, -7004187]\) | \(-3937024/12375\) | \(-17834853093750000\) | \([]\) | \(1161216\) | \(1.8049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700.cl do not have complex multiplication.Modular form 161700.2.a.cl
sage: E.q_eigenform(10)