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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 97461r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.a1 | 97461r1 | \([0, 0, 1, -1284339, -560235020]\) | \(-2731787761881088/19171971\) | \(-1644305584594491\) | \([]\) | \(1585152\) | \(2.0990\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461r do not have complex multiplication.Modular form 97461.2.a.r
sage: E.q_eigenform(10)