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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 303450.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.bt1 | 303450bt1 | \([1, 0, 1, 30194, -2054092]\) | \(3491443/4116\) | \(-3589027203394500\) | \([]\) | \(2115072\) | \(1.6710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.bt do not have complex multiplication.Modular form 303450.2.a.bt
sage: E.q_eigenform(10)