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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 93138.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93138.r1 | 93138o1 | \([1, 0, 1, -2022691, 1087615550]\) | \(149271198625/3009312\) | \(18450291262395642912\) | \([]\) | \(3255840\) | \(2.4880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93138.r do not have complex multiplication.Modular form 93138.2.a.r
sage: E.q_eigenform(10)