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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2368.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2368.a1 | 2368r1 | \([0, 0, 0, -262, 1630]\) | \(31077609984/50653\) | \(3241792\) | \([]\) | \(1728\) | \(0.14600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2368.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2368.a do not have complex multiplication.Modular form 2368.2.a.a
sage: E.q_eigenform(10)