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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 102541a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102541.a1 | 102541a1 | \([1, 1, 1, -3397, 79072]\) | \(-912673/61\) | \(-289756358701\) | \([]\) | \(139120\) | \(0.95133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102541a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102541a do not have complex multiplication.Modular form 102541.2.a.a
sage: E.q_eigenform(10)