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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 12705q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12705.j1 | 12705q1 | \([0, 1, 1, 65905, -3375619]\) | \(17869652393984/13156171875\) | \(-23306961003046875\) | \([]\) | \(94080\) | \(1.8289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12705q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12705q do not have complex multiplication.Modular form 12705.2.a.q
sage: E.q_eigenform(10)