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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 15680.dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.dq1 | 15680z1 | \([0, 0, 0, -28, 98]\) | \(-110592/125\) | \(-2744000\) | \([]\) | \(3840\) | \(-0.070187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.dq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680.dq do not have complex multiplication.Modular form 15680.2.a.dq
sage: E.q_eigenform(10)