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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 155298r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155298.f1 | 155298r1 | \([1, 0, 1, -4670, -122800]\) | \(11260058951339353/42993940704\) | \(42993940704\) | \([]\) | \(264960\) | \(0.89906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155298r do not have complex multiplication.Modular form 155298.2.a.r
sage: E.q_eigenform(10)