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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 15680q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.bi1 | 15680q1 | \([0, -1, 0, -261, -12515]\) | \(-1024/35\) | \(-67464642560\) | \([]\) | \(12288\) | \(0.75820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680q do not have complex multiplication.Modular form 15680.2.a.q
sage: E.q_eigenform(10)