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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 361998.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361998.r1 | 361998r1 | \([1, -1, 0, -558, 10804]\) | \(-156116857/308448\) | \(-38001102048\) | \([]\) | \(368640\) | \(0.71956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361998.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 361998.r do not have complex multiplication.Modular form 361998.2.a.r
sage: E.q_eigenform(10)