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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 101430a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101430.o1 | 101430a1 | \([1, -1, 0, -82770, 6821450]\) | \(552675123/143750\) | \(16311108099431250\) | \([]\) | \(846720\) | \(1.8199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101430a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101430a do not have complex multiplication.Modular form 101430.2.a.a
sage: E.q_eigenform(10)