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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 15600.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.v1 | 15600bp1 | \([0, -1, 0, -53, -1923]\) | \(-32768/3159\) | \(-1617408000\) | \([]\) | \(5760\) | \(0.44657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15600.v do not have complex multiplication.Modular form 15600.2.a.v
sage: E.q_eigenform(10)