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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 880.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
880.a1 | 880d1 | \([0, 0, 0, -67, 226]\) | \(-16241202/1375\) | \(-2816000\) | \([]\) | \(288\) | \(-0.017441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 880.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 880.a do not have complex multiplication.Modular form 880.2.a.a
sage: E.q_eigenform(10)