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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 141610.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141610.e1 | 141610bq1 | \([1, 0, 1, 35107, -30402102]\) | \(119/10\) | \(-402138534716342410\) | \([]\) | \(2416176\) | \(2.0575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141610.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141610.e do not have complex multiplication.Modular form 141610.2.a.e
sage: E.q_eigenform(10)