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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 70805bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.f1 | 70805bl1 | \([0, 0, 1, 2023, 3430502]\) | \(110592/614125\) | \(-5084455204808875\) | \([]\) | \(414720\) | \(1.6927\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70805bl do not have complex multiplication.Modular form 70805.2.a.bl
sage: E.q_eigenform(10)