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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 28314q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28314.v1 | 28314q1 | \([1, -1, 0, -666, 6804]\) | \(-370680937/1248\) | \(-110084832\) | \([]\) | \(9600\) | \(0.40745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28314q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28314q do not have complex multiplication.Modular form 28314.2.a.q
sage: E.q_eigenform(10)