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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 97461q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.f1 | 97461q1 | \([0, 0, 1, -127659, -17554784]\) | \(6441016595550208/511270461\) | \(18263092137381\) | \([]\) | \(675840\) | \(1.5911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461q do not have complex multiplication.Modular form 97461.2.a.q
sage: E.q_eigenform(10)