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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 9282.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9282.e1 | 9282b1 | \([1, 1, 0, -187070, 46349556]\) | \(-724002020651148891625/512198939204813952\) | \(-512198939204813952\) | \([]\) | \(115248\) | \(2.0981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9282.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9282.e do not have complex multiplication.Modular form 9282.2.a.e
sage: E.q_eigenform(10)