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SageMath
E = EllipticCurve("ej1")
E.isogeny_class()
Elliptic curves in class 224400ej
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.o1 | 224400ej1 | \([0, -1, 0, -120208, -26161088]\) | \(-4802500825/4634982\) | \(-185399280000000000\) | \([]\) | \(2695680\) | \(2.0096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400ej1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400ej do not have complex multiplication.Modular form 224400.2.a.ej
sage: E.q_eigenform(10)