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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2548.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2548.a1 | 2548a1 | \([0, 0, 0, -49, 49]\) | \(338688/169\) | \(6492304\) | \([]\) | \(1008\) | \(0.000043676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2548.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 2548.a do not have complex multiplication.Modular form 2548.2.a.a
sage: E.q_eigenform(10)