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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 64400bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.c1 | 64400bg1 | \([0, 0, 0, -325, -4625]\) | \(-15185664/28175\) | \(-7043750000\) | \([]\) | \(82944\) | \(0.57958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400bg do not have complex multiplication.Modular form 64400.2.a.bg
sage: E.q_eigenform(10)