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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 349830.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.bc1 | 349830bc1 | \([1, -1, 0, -36803415, -85927824319]\) | \(-42302321087052649923/2335937500\) | \(-304428352007812500\) | \([]\) | \(24192000\) | \(2.8231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830.bc do not have complex multiplication.Modular form 349830.2.a.bc
sage: E.q_eigenform(10)