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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 213444.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.a1 | 213444e1 | \([0, 0, 0, -48818847, 131289345110]\) | \(-8985792737264/2187\) | \(-3131689183156816128\) | \([]\) | \(21676032\) | \(2.9262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.a do not have complex multiplication.Modular form 213444.2.a.a
sage: E.q_eigenform(10)