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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 7267.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7267.a1 | 7267a1 | \([0, 1, 1, -56, 693]\) | \(-4096/43\) | \(-207552787\) | \([]\) | \(4104\) | \(0.27804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7267.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7267.a do not have complex multiplication.Modular form 7267.2.a.a
sage: E.q_eigenform(10)