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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 87856a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87856.o1 | 87856a1 | \([0, 1, 0, -2408, 64340]\) | \(-31250/19\) | \(-939241084928\) | \([]\) | \(76544\) | \(0.99943\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87856a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87856a do not have complex multiplication.Modular form 87856.2.a.a
sage: E.q_eigenform(10)