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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 212940bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212940.g1 | 212940bf1 | \([0, 0, 0, 210912, 63633908]\) | \(6815744/15435\) | \(-2349746145721578240\) | \([]\) | \(2515968\) | \(2.2092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212940bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212940bf do not have complex multiplication.Modular form 212940.2.a.bf
sage: E.q_eigenform(10)