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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 167475l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
167475.l1 | 167475l1 | \([1, 0, 0, -59413, -5585308]\) | \(-1484391946907017/1946200179\) | \(-30409377796875\) | \([]\) | \(648000\) | \(1.4940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 167475l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 167475l do not have complex multiplication.Modular form 167475.2.a.l
sage: E.q_eigenform(10)