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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 215600a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.g1 | 215600a1 | \([0, 0, 0, -11515, 1835050]\) | \(-2803221/22528\) | \(-1357003096064000\) | \([]\) | \(1596672\) | \(1.5865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215600a do not have complex multiplication.Modular form 215600.2.a.a
sage: E.q_eigenform(10)