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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 62424.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62424.a1 | 62424bh1 | \([0, 0, 0, -31212, -2653020]\) | \(-3072\) | \(-1094629871524608\) | \([]\) | \(354816\) | \(1.5983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62424.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62424.a do not have complex multiplication.Modular form 62424.2.a.a
sage: E.q_eigenform(10)