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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 61200.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.a1 | 61200dv1 | \([0, 0, 0, -4515, 116770]\) | \(3681571635/34\) | \(94003200\) | \([]\) | \(64512\) | \(0.69376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61200.a do not have complex multiplication.Modular form 61200.2.a.a
sage: E.q_eigenform(10)