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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 30400bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30400.a1 | 30400bl1 | \([0, 0, 0, 500, -2000]\) | \(27000/19\) | \(-9728000000\) | \([]\) | \(27648\) | \(0.60501\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30400bl1 has rank \(2\).
Complex multiplication
The elliptic curves in class 30400bl do not have complex multiplication.Modular form 30400.2.a.bl
sage: E.q_eigenform(10)