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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 161700ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.s1 | 161700ea1 | \([0, -1, 0, -200573, -33460503]\) | \(1185154785280/40920957\) | \(30811581888595200\) | \([]\) | \(1492992\) | \(1.9355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700ea do not have complex multiplication.Modular form 161700.2.a.ea
sage: E.q_eigenform(10)