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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 350658.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.eb1 | 350658eb1 | \([1, -1, 1, -75164, 1254575]\) | \(4399969620937/2484466992\) | \(26517434216576688\) | \([]\) | \(3981312\) | \(1.8414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.eb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.eb do not have complex multiplication.Modular form 350658.2.a.eb
sage: E.q_eigenform(10)